\n\u0393\u03b9\u03ac \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03c0\u03b1\u03c1\u03b1\u03b3\u03bf\u03bd\u03c4\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc 12 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03c4\u03bf\u03bd \u03b3\u03c1\u03ac\u03c8\u03bf\u03c5\u03bc\u03b5 2.<\/sup>6, \u03b1\u03c6\u03bf\u03cd 12=2.<\/sup>6. \u039f\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af 2 \u03ba\u03b1\u03b9 6 \u03bb\u03ad\u03b3\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b5\u03c2 (\u03ae \u03b4\u03b9\u03b1\u03b9\u03c1\u03ad\u03c4\u03b5\u03c2) \u03c4\u03bf\u03c5 12. \u039c\u03b5 \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd \u03c3\u03b5 \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03b4\u03b5\u03bd \u03b8\u03b1 \u03b1\u03c3\u03c7\u03bf\u03bb\u03b7\u03b8\u03bf\u03cd\u03bc\u03b5 \u03b5\u03b4\u03ce, \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03ba\u03ac\u03bd\u03b1\u03bc\u03b5 \u03c0\u03bf\u03bb\u03bb\u03ac \u03c7\u03c1\u03cc\u03bd\u03b9\u03b1 \u03c0\u03c1\u03b9\u03bd \u03c3\u03c4\u03bf \u0394\u03b7\u03bc\u03bf\u03c4\u03b9\u03ba\u03cc \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7 \u0391\u0384 \u0393\u03c5\u03bc\u03bd\u03b1\u03c3\u03af\u03bf\u03c5 (\u03b8\u03c5\u03bc\u03b7\u03b8\u03b5\u03af\u03c4\u03b5 \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03b5\u03bd\u03cc\u03c2 \u03c3\u03cd\u03bd\u03b8\u03b5\u03c4\u03bf\u03c5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd \u03c3\u03b5 \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03c0\u03c1\u03ce\u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03b1\u03b3\u03cc\u03bd\u03c4\u03c9\u03bd, \u03cc\u03c0\u03bf\u03c5 \u03c4\u03bf 12 \u03c4\u03bf \u03b3\u03c1\u03ac\u03c6\u03b1\u03bc\u03b5
![\"12=2^2\cdot 3\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-c371b797ac4c1f27eae31e95ece7e628_l3.png\" "\\"Rendered")
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\u038c\u03c4\u03b1\u03bd \u03bc\u03b1\u03c2 \u03b4\u03c9\u03b8\u03b5\u03af \u03bc\u03b9\u03b1 \u03b1\u03bb\u03b3\u03b5\u03b2\u03c1\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf \u03bb\u03cc\u03b3\u03bf \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c4\u03b7\u03bd \u03bc\u03b5\u03c4\u03b1\u03c4\u03c1\u03ad\u03c8\u03bf\u03c5\u03bc\u03b5 \u03c3\u03b5 \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1:<\/p>\n
- \n
- \u0395\u03bb\u03ad\u03b3\u03c7\u03bf\u03c5\u03bc\u03b5 \u03b1\u03bd \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf \u03c4\u03bf\u03c5 \u039a\u03bf\u03b9\u03bd\u03bf\u03cd \u03a0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1<\/strong><\/span>. \u0391\u03bd \u03bd\u03b1\u03b9 \u03ad\u03c7\u03b5\u03b9 \u03ba\u03b1\u03bb\u03ce\u03c2 \u03c4\u03b7\u03bd \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03b6\u03bf\u03c5\u03bc\u03b5 \u03ba\u03b1\u03b9 \u03c4\u03b5\u03bb\u03b5\u03b9\u03ce\u03c3\u03b1\u03bc\u03b5 (\u03c3\u03c5\u03bd\u03ae\u03b8\u03c9\u03c2) \u03b1\u03bd \u03cc\u03c7\u03b9 \u03c4\u03cc\u03c4\u03b5 \u03c0\u03ac\u03bc\u03b5 \u03c3\u03c4\u03b7\u03bd<\/li>\n
- \u039c\u03ad\u03b8\u03bf\u03b4\u03bf \u03c4\u03b7\u03c2 \u039f\u03bc\u03b1\u03b4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 <\/strong><\/span>\u03b1\u03bb\u03bb\u03ac \u03b1\u03bd \u03b4\u03b5\u03bd \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bf\u03cd\u03c4\u03b5 \u03ba\u03b9 \u03b1\u03c5\u03c4\u03ae \u03b8\u03b1 \u03ba\u03bf\u03b9\u03c4\u03ac\u03be\u03bf\u03c5\u03bc\u03b5 \u03bc\u03ae\u03c0\u03c9\u03c2 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1<\/li>\n
- \u039a\u03ac\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03c4\u03c9\u03bd \u03a4\u03b1\u03c5\u03c4\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd<\/strong><\/span><\/li>\n
- \u0395\u03be\u03b5\u03c4\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03bc\u03ae\u03c0\u03c9\u03c2 \u03b7 \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03c1\u03b9\u03ce\u03bd\u03c5\u03bc\u03bf<\/strong><\/span><\/li>\n<\/ol>\n
\u0391\u03c2 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03cc\u03bc\u03c9\u03c2 \u03b1\u03c5\u03c4\u03ad\u03c2 \u03c4\u03b9\u03c2 \u03bc\u03b5\u03b8\u03cc\u03b4\u03bf\u03c5\u03c2 \u03b1\u03bd\u03b1\u03bb\u03c5\u03c4\u03b9\u03ba\u03ac:<\/p>\n
\u03a0\u03c1\u03b9\u03bd \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03cc \u03cc\u03bc\u03c9\u03c2 \u03c3\u03b1\u03c2 \u03c0\u03c1\u03bf\u03c4\u03b5\u03af\u03bd\u03c9 \u03bd\u03b1 \u03b4\u03b9\u03b1\u03b2\u03ac\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03ba\u03ac\u03b8\u03b5 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf \u03c7\u03c9\u03c1\u03b9\u03c3\u03c4\u03ac. \u03a0\u03c1\u03ce\u03c4\u03b1 \u03c4\u03b7 “\u03bc\u03ad\u03b8\u03bf\u03b4\u03bf \u03c4\u03bf\u03c5 \u039a\u03bf\u03b9\u03bd\u03bf\u03cd \u03a0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1” \u03bd\u03b1 \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03bb\u03ac\u03b2\u03b5\u03c4\u03b5 \u03ba\u03b1\u03bb\u03ac, \u03bd\u03b1 \u03bb\u03cd\u03c3\u03b5\u03c4\u03b5 \u03bc\u03b5\u03c1\u03b9\u03ba\u03ad\u03c2 \u03b1\u03c3\u03ba\u03ae\u03c3\u03b5\u03b9\u03c2 \u03ba\u03b1\u03b9 \u03bc\u03cc\u03bb\u03b9\u03c2 \u03bd\u03bf\u03b9\u03ce\u03c3\u03b5\u03c4\u03b5 \u03c3\u03af\u03b3\u03bf\u03c5\u03c1\u03bf\u03b9 \u03bd\u03b1 \u03b5\u03c0\u03b9\u03c3\u03c4\u03c1\u03ad\u03c8\u03b5\u03c4\u03b5 \u03c3\u03c4\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b1\u03c3\u03c7\u03bf\u03bb\u03b7\u03b8\u03b5\u03af\u03c4\u03b5 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03b7 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf \u03ba.\u03bf.\u03ba. \u03a4\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf \u03ba\u03b1\u03b9 \u03b4\u03cd\u03c3\u03ba\u03bf\u03bb\u03bf, \u03b5\u03b3\u03ce \u03c4\u03bf \u03ad\u03b3\u03c1\u03b1\u03c8\u03b1 \u03cc\u03bb\u03bf\u03ba\u03bb\u03b7\u03c1\u03bf \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03ac\u03c1\u03b5\u03c4\u03b5 \u03bc\u03b9\u03b1 \u03c0\u03b9\u03bf \u03bf\u03bb\u03bf\u03ba\u03bb\u03b7\u03c1\u03c9\u03bc\u03ad\u03bd\u03b7 \u03b9\u03b4\u03ad\u03b1, \u03b5\u03c3\u03b5\u03af\u03c2 \u03cc\u03bc\u03c9\u03c2 \u03ba\u03b1\u03c4\u03ac \u03c4\u03b7\u03bd (\u03cc\u03c7\u03b9 \u03c4\u03b1\u03c0\u03b5\u03b9\u03bd\u03ae) \u03b3\u03ce\u03bc\u03b7 \u03bc\u03bf\u03c5 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c4\u03bf “\u03c3\u03c0\u03ac\u03c3\u03b5\u03c4\u03b5”. \u0395\u03c0\u03af\u03c3\u03b7\u03c2 \u03b5\u03b4\u03ce \u03c0\u03b1\u03af\u03c1\u03bd\u03bf\u03c5\u03bc\u03b5 \u03bc\u03b9\u03b1 \u03b3\u03b5\u03bd\u03b9\u03ba\u03ae \u03b9\u03b4\u03ad\u03b1 \u03c4\u03b7\u03c2 \u03c0\u03b1\u03c1\u03b1\u03b3\u03bf\u03bd\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2, \u03bb\u03b5\u03c0\u03c4\u03bf\u03bc\u03ad\u03c1\u03b5\u03b9\u03b5\u03c2, “\u03c0\u03b1\u03b3\u03af\u03b4\u03b5\u03c2” \u03ba\u03b1\u03b9 tips \u03c3\u03b5 \u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf \u03c0\u03bf\u03c5 \u03b8\u03b1 \u03bb\u03cd\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c3\u03ba\u03ae\u03c3\u03b5\u03b9\u03c2.<\/p>\n
[nextpage title=”\u039a\u03bf\u03b9\u03bd\u03cc\u03c2 \u03a0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2”]<\/p>\n
“\u039a\u03bf\u03b9\u03bd\u03cc\u03c2 \u03a0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2”<\/h3>\n
\u03a3\u03c4\u03b7\u03bd \u03b1\u03bb\u03b3\u03b5\u03b2\u03c1\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 2\u03c7+2\u03c8+14\u03c9, \u03c4\u03b1 2\u03c7, 2\u03c8 \u03ba\u03b1\u03b9 14\u03c9 \u03bb\u03ad\u03b3\u03bf\u03bd\u03c4\u03b1\u03b9 “\u03cc\u03c1\u03bf\u03b9<\/strong>” \u03c4\u03b7\u03c2 \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7\u03c2. \u03a3\u03c4\u03bf\u03bd \u03cc\u03c1\u03bf 2\u03c7 \u03bf\u03b9 2 \u03ba\u03b1\u03b9 \u03c7 \u03bb\u03ad\u03b3\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b5\u03c2<\/strong> \u03c4\u03bf\u03c5 2\u03c7, \u03b1\u03bd\u03ac\u03bb\u03bf\u03b3\u03b1 \u03c4\u03bf 2 \u03ba\u03b1\u03b9 \u03c8 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03b9 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b5\u03c2 \u03c4\u03bf\u03c5 2\u03c8 \u03ba\u03b1\u03b9 \u03bf\u03b9 14 \u03ba\u03b1\u03b9 \u03c9 \u03bf\u03b9 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b5\u03c2 \u03c4\u03bf\u03c5 14\u03c9. \u03a0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 2 \u03b5\u03af\u03bd\u03b1\u03b9 “<\/span>\u03ba\u03bf\u03b9\u03bd\u03cc\u03c2 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2<\/strong>” \u03b1\u03c6\u03bf\u03cd <\/span>\u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03cc\u03bb\u03bf\u03c5\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2<\/em><\/span>. \u03a3\u03c4\u03bf\u03c5\u03c2 2\u03c7 \u03ba\u03b1\u03b9 2\u03c8 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03bf\u03c6\u03b1\u03bd\u03ad\u03c2 \u03b5\u03bd\u03ce \u03c3\u03c4\u03bf\u03bd \u03cc\u03c1\u03bf 14\u03c9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03c1\u03c5\u03bc\u03bc\u03ad\u03bd\u03bf\u03c2 \u03bc\u03ad\u03c3\u03b1 \u03c3\u03c4\u03bf 14 (14=2<\/span>.<\/sup>7).<\/span><\/p>\n
![\"\u0395\u03c0\u03b9\u03bc\u03b5\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/uploads\/2019\/07\/epimeristiki-300x77.gif\")
\u0395\u03c0\u03b9\u03bc\u03b5\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u0399\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1<\/figcaption><\/figure>\n \u038c\u03c4\u03b1\u03bd \u03bb\u03bf\u03b9\u03c0\u03cc\u03bd \u03c3\u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03b8\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5 \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03c4\u03c1\u03ad\u03c8\u03bf\u03c5\u03bc\u03b5 \u03c3\u03b5 \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03b5\u03af\u03bc\u03b1\u03c3\u03c4\u03b5 “\u03c4\u03c5\u03c7\u03b5\u03c1\u03bf\u03af” \u03ba\u03b1\u03b9 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03ba\u03bf\u03b9\u03bd\u03cc\u03c2 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03cc\u03c4\u03b5 \u03ba\u03ac\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03c0\u03b9\u03bc\u03b5\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2\u00a0 \u03b1(\u03b2+\u03b3)=\u03b1\u03b2+\u03b1\u03b3 . \u0388\u03c4\u03c3\u03b9 \u03b7 \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 2\u03c7+2\u03c8+14\u03c9 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 2\u03c7+2\u03c8+14\u03c9=2\u03c7+2\u03c8+2<\/span>.<\/sup>7\u03c9=2(\u03c7+\u03c8+7\u03c9) \u03c0\u03bf\u03c5 \u03ad\u03b3\u03b9\u03bd\u03b5 \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03ba\u03b1\u03b9 \u03c4\u03b5\u03bb\u03b5\u03b9\u03ce\u03c3\u03b1\u03bc\u03b5.<\/span><\/p>\n
\u038c\u03c4\u03b1\u03bd \u03ba\u03bf\u03b9\u03c4\u03ac\u03bc\u03b5 \u03bc\u03ae\u03c0\u03c9\u03c2 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf\u03c2 \u03ba\u03bf\u03b9\u03bd\u03cc\u03c2 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2, \u03ba\u03bf\u03b9\u03c4\u03ac\u03bc\u03b5 \u03b3\u03b9\u03b1 \u03ba\u03bf\u03b9\u03bd\u03cc \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc<\/strong> \u03ae \u03ba\u03bf\u03b9\u03bd\u03cc \u03b3\u03c1\u03ac\u03bc\u03bc\u03b1<\/strong> \u03ae \u03b1\u03ba\u03cc\u03bc\u03b7 \u03ba\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03ba\u03bf\u03b9\u03bd\u03ae \u03c0\u03b1\u03c1\u03ad\u03bd\u03b8\u03b5\u03c3\u03b7.<\/strong> \u0394\u03b5\u03af\u03c4\u03b5 \u03c4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9:<\/p>\n
<\/span> <\/span>
![\"\[2x-ax+bx^2=x(2-a+bx)\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-7e2f54658dcf036244a50bb2c716f5e0_l3.png\" "\\"Rendered")
<\/p>\n\u03ba\u03bf\u03b9\u03bd\u03cc\u03c2 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2 \u03ae\u03c4\u03b1\u03bd \u03c4\u03bf x \u03c0\u03bf\u03c5 \u03c5\u03c0\u03ae\u03c1\u03c7\u03b5 \u03c0\u03b1\u03bd\u03c4\u03bf\u03c5 \u03b1\u03c6\u03bf\u03cd
![\"2x-ax+bx^2=2x-ax+bxx\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-4687c9abe1081dd6ec4d570defdfecf6_l3.png\" "\\"Rendered")
.<\/p>\n![\"3k(x+y)+6a(x+y)-12b(x+y)=3(x+y)(k+2a-4b)\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-405119ab91bffa1ce4615a6366fa60d7_l3.png\" "\\"Rendered")
, \u03ba\u03bf\u03b9\u03bd\u03cc\u03c2 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2 \u03ae\u03c4\u03b1\u03bd \u03c4\u03bf 3 \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03c1\u03c5\u03bc\u03bc\u03ad\u03bd\u03bf \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf 6 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf 12 \u03b1\u03bb\u03bb\u03ac \u03ba\u03b1\u03b9 \u03b7 \u03c0\u03b1\u03c1\u03ad\u03bd\u03b8\u03b5\u03c3\u03b7 (\u03c7+\u03c8).<\/p>\n\u03a0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03b5\u03b9\u03c2:<\/em><\/span>
\n\u03b1) \u0393\u03b9\u03b1 \u03bd\u03b1 \u03b2\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b9 \u03b8\u03b1 \u03b3\u03c1\u03ac\u03c8\u03bf\u03c5\u03bc\u03b5 \u03bc\u03ad\u03c3\u03b1 \u03c3\u03c4\u03b7 \u03c0\u03b1\u03c1\u03ad\u03bd\u03b8\u03b5\u03c3\u03b7 \u03b1\u03c6\u03bf\u03cd \u03b2\u03b3\u03ac\u03bb\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03bd \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1, \u03b4\u03b9\u03b1\u03b9\u03c1\u03bf\u03cd\u03bc\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03cc\u03c1\u03bf \u03bc\u03b5 \u03c4\u03bf\u03bd \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1 (\u03b1\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bd\u03ae\u03b8\u03c9\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03bf\u03c6\u03b1\u03bd\u03ad\u03c2 “\u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03bf \u03bc\u03ac\u03c4\u03b9” \u03ba\u03b1\u03b9 \u03b4\u03b5\u03bd \u03ba\u03ac\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03af\u03c1\u03b5\u03c3\u03b7).
\n\u03b2) \u0393\u03b9\u03b1 \u03bd\u03b1 \u03b5\u03bb\u03ad\u03b3\u03be\u03bf\u03c5\u03bc\u03b5 \u03b1\u03bd \u03b7 \u03c0\u03b1\u03c1\u03b1\u03b3\u03b3\u03bf\u03bd\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03ad\u03b3\u03b9\u03bd\u03b5 \u03c3\u03c9\u03c3\u03c4\u03ac \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03ba\u03ac\u03bd\u03bf\u03c5\u03bc\u03b5 \u03b5\u03c0\u03b9\u03bc\u03b5\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03c3\u03c4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bf\u03c0\u03c9\u03c3\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c8\u03b5\u03b9 \u03c4\u03bf \u03c0\u03c1\u03ce\u03c4\u03bf \u03bc\u03ad\u03bb\u03bf\u03c2, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03cc\u03c4\u03b9 \u03bc\u03b1\u03c2 \u03ae\u03c7\u03b1\u03bd \u03b4\u03ce\u03c3\u03b5\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae.
\n\u03b3) \u039c\u03b5\u03c1\u03b9\u03ba\u03ad\u03c2 \u03c6\u03bf\u03c1\u03ad\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c7\u03c1\u03ae\u03c3\u03b9\u03bc\u03bf \u03bd\u03b1 \u03b2\u03b3\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1 \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03c0\u03bf\u03c5 \u03bc\u03c0\u03c1\u03bf\u03c3\u03c4\u03ac \u03c4\u03bf\u03c5 \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03c0\u03c1\u03cc\u03c3\u03b7\u03bc\u03bf – . \u03a3\u03b5 \u03b1\u03c5\u03c4\u03ad\u03c2 \u03c4\u03b9\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c0\u03c4\u03ce\u03c3\u03b5\u03b9\u03c2 \u03bf\u03b9 \u03cc\u03c1\u03bf\u03b9 \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03bd\u03bf\u03c5\u03bd \u03c3\u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03ad\u03bd\u03b8\u03b5\u03c3\u03b7 \u03ad\u03c7\u03bf\u03c5\u03bd \u03b1\u03bd\u03c4\u03af\u03b8\u03b5\u03c4\u03bf \u03c0\u03c1\u03cc\u03c3\u03b7\u03bc\u03bf \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03cc \u03c0\u03bf\u03c5 \u03b5\u03af\u03c7\u03b1\u03bd<\/span>. \u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03c3\u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7![\"2x - 2y\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-73ee697a169931cef0087c1246ef0d48_l3.png\" "\\"Rendered")
\u03bc\u03c0\u03bf\u03c1\u03ce \u03bd\u03b1 \u03b2\u03b3\u03ac\u03bb\u03c9 \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1 \u03c4\u03bf 2 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 ![\"2x - 2y=2(x-y)\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-1ec14ec83ef5a88fcd725b3832831134_l3.png\" "\\"Rendered")
\u03b1\u03bb\u03bb\u03ac \u03b8\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03c3\u03b1 \u03bd\u03b1 \u03b2\u03b3\u03ac\u03bb\u03c9 \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03bf -2, \u03b1\u03bd \u03c4\u03bf \u03ae\u03b8\u03b5\u03bb\u03b1, \u03c4\u03cc\u03c4\u03b5 \u03b8\u03b1 \u03b5\u03af\u03c7\u03b1\u03bc\u03b5 ![\"2x - 2y = -2(-x+y)=-2(y-x)\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-2b1b9acbecc9bbddbab80a758839d07e_l3.png\" "\\"Rendered")
.
\n\u03b4) \u0391\u03bd \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf\u03c2 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2 \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03b9\u03c2 \u03b5\u03c0\u03b9\u03bb\u03ad\u03b3\u03bf\u03c5\u03bc\u03b5 \u03bd\u03b1 \u03b2\u03b3\u03ac\u03bb\u03bf\u03c5\u03bc\u03b5 \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1 \u03b1\u03c5\u03c4\u03cc\u03bd \u03bc\u03b5 \u03c4\u03b7 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b7 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7. \u03c0.\u03c7. \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03c4\u03bf a \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b5\u03b9 \u03c9\u03c2![\"a^3\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-c7de4c3776f0f8d6964490e281d374f1_l3.png\" "\\"Rendered")
\u03c3\u03c4\u03bf\u03bd \u03c0\u03c1\u03ce\u03c4\u03bf \u03cc\u03c1\u03bf \u03ba\u03b1\u03b9 \u03c9\u03c2 ![\"a^2\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-5724f828c57706ffcbbc120aceaa946d_l3.png\" "\\"Rendered")
\u03c3\u03c4\u03bf\u03bd \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03bf, \u03b5\u03bc\u03b5\u03af\u03c2 \u03b5\u03c0\u03b9\u03bb\u03ad\u03b3\u03bf\u03c5\u03bc\u03b5 \u03c9\u03c2 \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1 \u03c4\u03bf \u03ba\u03b1\u03b9 \u03b1\u03c5\u03c4\u03cc \u03b3\u03b9\u03b1\u03c4\u03af \u03c4\u03bf ![\"a^3=aaa\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-cf19129283041667a4320e8e7ab5c9d7_l3.png\" "\\"Rendered")
\u03ba\u03b1\u03b9 ![\"a^2=aa\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-931a3114f54665e830c82c0e2e5322d9_l3.png\" "\\"Rendered")
\u03c0\u03bf\u03c5 \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03b1 “\u03ba\u03bf\u03b9\u03bd\u03ac a” \u03b5\u03af\u03bd\u03b1 \u03b4\u03cd\u03bf (\u03b1\u03bd \u03b8\u03b5\u03bb\u03ae\u03c3\u03c9 \u03bd\u03b1 \u03b2\u03b3\u03ac\u03bb\u03c9 \u03c4\u03c1\u03b9\u03b1 a \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1 \u03c4\u03cc\u03c4\u03b5 \u03c4\u03bf \u03b4\u03b5\u03bd \u03ad\u03c7\u03b5\u03b9 \u03bd\u03b1 \u03bc\u03bf\u03c5 \u03b4\u03ce\u03c3\u03b5\u03b9)\u00a0 <\/p>\n<\/span> <\/span>
![\"\[2a^3(x+y)^2+4a^2(x+y)^3=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-801adbb0ef68f9fa820c2a46ee4147fc_l3.png\" "\\"Rendered")
<\/p>\n<\/span> <\/span>
![\"\[=2a^2(x+y)^2(a+2(x+y))=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-be36db56c2504bb534512423b59e5c30_l3.png\" "\\"Rendered")
<\/p>\n<\/span> <\/span>
![\"\[=2a^2(x+y)^2(a+2x+2y)\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-5707c2c28273cc44f15d7ce1baf458ab_l3.png\" "\\"Rendered")
<\/p>\n[nextpage title=”\u039f\u03bc\u03b1\u03b4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7”]<\/p>\n
“\u039f\u03bc\u03b1\u03b4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7”<\/h3>\n
\u0395\u03c0\u03b5\u03b9\u03b4\u03ae \u03b4\u03b5\u03bd \u03b8\u03b1 \u03b5\u03af\u03bc\u03b1\u03c3\u03c4\u03b5 \u03c0\u03ac\u03bd\u03c4\u03b1 \u03c4\u03c5\u03c7\u03b5\u03c1\u03bf\u03af \u03bd\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1 \u03cc\u03c0\u03c9\u03c2 \u03c3\u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7\u03c2
![\"2ax+4ay+3bx+6by\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-bf3b700cf29f049a2eecec9d5a755510_l3.png\" "\\"Rendered")
, \u03c4\u03cc\u03c4\u03b5 \u03ba\u03bf\u03b9\u03c4\u03ac\u03bc\u03b5 \u03bc\u03ae\u03c0\u03c9\u03c2 \u03b1\u03bd \u03c7\u03c9\u03c1\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2 \u03c3\u03b5 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 \u03ba\u03b1\u03c4\u03b1\u03c6\u03ad\u03c1\u03bf\u03c5\u03bc\u03b5 \u03bd\u03b1 \u03b2\u03c1\u03bf\u03cd\u03bc\u03b5 \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1. \u03a0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9 \u03bf\u03b9 \u03cc\u03c1\u03bf\u03b9 2ax \u03ba\u03b1\u03b9 4ay \u03ad\u03c7\u03bf\u03c5\u03bd \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1 \u03c4\u03bf 2a, \u03bf\u03c0\u03cc\u03c4\u03b5 ![\"2ax+4ay=2a(x+2y)\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-f76ef838dd5edc3adba1aee5f70c7f45_l3.png\" "\\"Rendered")
, \u03b5\u03bd\u03ce \u03bf\u03b9 \u03cc\u03c1\u03bf\u03b9 3bx \u03ba\u03b1\u03b9 6by \u03ad\u03c7\u03bf\u03c5\u03bd \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1 \u03c4\u03bf 3b, \u03bf\u03c0\u03cc\u03c4\u03b5 ![\"3by+6by=3b(x+2y)\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-9503d067a53d9dc594d0bf5b532b958b_l3.png\" "\\"Rendered")
. \u0393\u03b9\u03b1 \u03bd\u03b1 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b9 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03ba\u03ac\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03ce\u03c1\u03b1, \u03bc\u03ad\u03c7\u03c1\u03b9 \u03c3\u03c4\u03b9\u03b3\u03bc\u03ae\u03c2 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 <\/p>\n<\/span> <\/span>
![\"\[2ax+4ay+3bx+6by=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-ffe2cb159116ed832e1e74e27b4e885c_l3.png\" "\\"Rendered")
<\/p>\n<\/span> <\/span>
![\"\[(2ax+4ay)+(3bx+6by)\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-1077e3549d997313e4e702f6b6f5c31a_l3.png\" "\\"Rendered")
<\/p>\n\u00a0 <\/p>\n
<\/span> <\/span>
![\"\[=2a(x+2y)+3b(x+2y)\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-8ec7c4b1208efca4a606027571fe0a23_l3.png\" "\\"Rendered")
<\/p>\n\u039f\u03b9 \u03cc\u03c1\u03bf\u03b9 \u03b1\u03c0\u03cc 4 \u03ad\u03b3\u03b9\u03bd\u03b1\u03bd 2 \u03ba\u03b1\u03b9 \u03bc\u03ac\u03bb\u03b9\u03c3\u03c4\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bd \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1 \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03ad\u03bd\u03b8\u03b5\u03c3\u03b7 (x+2y), \u03ac\u03c1\u03b1 <\/p>\n
<\/span> <\/span>
![\"\[2αχ+4αψ+3βχ+6βψ=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-8bb740d1bc35fb62e98bebe5482f59cc_l3.png\" "\\"Rendered")
<\/p>\n<\/span> <\/span>
![\"\[=2a(x+2y)+3b(x+2y)=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-c82b2f2daa886e180141be4a2727df75_l3.png\" "\\"Rendered")
<\/p>\n<\/span> <\/span>
![\"\[=(x+2y)(2a+3b)\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-ffc872fa6f919d19f2f8220942373859_l3.png\" "\\"Rendered")
<\/p>\n![\"\u039f\u03bc\u03b1\u03b4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/uploads\/2019\/07\/grouping-300x169.png\")
\u039f\u03bc\u03b1\u03b4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7<\/figcaption><\/figure>\n \u0397 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03ae\u03c3\u03b1\u03bc\u03b5 \u03b5\u03b4\u03ce \u03bb\u03ad\u03b3\u03b5\u03c4\u03b1\u03b9 “\u03bf\u03bc\u03b1\u03b4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7”<\/strong> \u03ae \u03c0\u03b1\u03c1\u03b1\u03b3\u03bf\u03bd\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03ba\u03b1\u03c4\u03ac \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03bf \u03bb\u03cc\u03b3\u03bf\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03bf\u03c6\u03b1\u03bd\u03ae\u03c2 \u03b1\u03c6\u03bf\u03cd \u03b1\u03bd\u03b1\u03b3\u03ba\u03b1\u03c3\u03c4\u03ae\u03ba\u03b1\u03bc\u03b5 \u03bd\u03b1 \u03c7\u03c9\u03c1\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c3\u03b5 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b2\u03b3\u03ac\u03bb\u03bf\u03c5\u03bc\u03b5 \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1 \u03c3\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03c7\u03c9\u03c1\u03b9\u03c3\u03c4\u03ac.<\/p>\n
\u03a0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03b5\u03b9\u03c2:
\n(\u03b1) \u03a3\u03c4\u03b7 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf \u03c4\u03b7\u03c2 \u03bf\u03bc\u03b1\u03b4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03c0\u03bf\u03c4\u03ad \u03b4\u03b5\u03bd \u03c4\u03b5\u03bb\u03b5\u03b9\u03ce\u03bd\u03bf\u03c5\u03bc\u03b5 \u03b1\u03bc\u03ad\u03c3\u03c9\u03c2 \u03b1\u03bb\u03bb\u03ac \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03c0\u03ac\u03bd\u03c4\u03b1 (\u03c4\u03bf\u03c5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03bf\u03bd) \u03b4\u03cd\u03bf \u03c3\u03c4\u03ac\u03b4\u03b9\u03b1. \u0391\u03c6\u03bf\u03cd \u03c4\u03b5\u03bb\u03b5\u03b9\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03b3\u03bf\u03bd\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03ba\u03ac\u03b8\u03b5 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bf\u03b9 \u03c0\u03b1\u03c1\u03b5\u03bd\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03b8\u03b1 \u03bc\u03b5\u03af\u03bd\u03bf\u03c5\u03bd \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03b4\u03b9\u03b5\u03c2 \u03ae \u03b1\u03bd\u03c4\u03af\u03b8\u03b5\u03c4\u03b5\u03c2<\/strong> \u03ce\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03be\u03b1\u03bd\u03b1\u03b2\u03b3\u03b5\u03af \u03ba\u03bf\u03b9\u03bd\u03cc\u03c2 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2.
\n(\u03b2) \u0391\u03bd \u03bf\u03b9 \u03c0\u03b1\u03c1\u03b5\u03bd\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03b8\u03b1 \u03bc\u03b5\u03af\u03bd\u03bf\u03c5\u03bd \u03ba\u03b1\u03c4\u03ac \u03c4\u03bf \u03c0\u03c1\u03ce\u03c4\u03bf \u03c3\u03c4\u03ac\u03b4\u03b9\u03bf \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03b4\u03b9\u03b5\u03c2 \u03bc\u03ac\u03bb\u03bb\u03bf\u03bd \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03b4\u03b9\u03b1\u03bb\u03ad\u03be\u03b5\u03b9 \u03bb\u03ac\u03b8\u03bf\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2. \u039e\u03b1\u03bd\u03b1\u03b4\u03bf\u03ba\u03b9\u03bc\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03bb\u03bf\u03b9\u03c0\u03cc\u03bd \u03c0\u03b1\u03af\u03c1\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2. \u03c0.\u03c7. \u0393\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03b1\u03c1\u03b1\u03b3\u03bf\u03bd\u03c4\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03c9 \u03c4\u03b7\u03bd![\"ax^3+2ab+bx^2+2a^2x\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-5a15610d49df67d749bd20d943844d71_l3.png\" "\\"Rendered")
\u03ba\u03ac\u03bd\u03c9 \u03c4\u03b1 \u03b5\u03be\u03ae\u03c2: <\/p>\n<\/span> <\/span>
![\"\[ax^3+2ab+bx^2+2a^2x=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-65a10096850fc27f9a843f46a00415b6_l3.png\" "\\"Rendered")
<\/p>\n<\/span> <\/span>
![\"\[=(ax^3+2ab)+(bx^2+2a^2x)=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-df64c5cbd76ad535eb067213ce5e73fa_l3.png\" "\\"Rendered")
<\/p>\n<\/span> <\/span>
![\"\[=a(x^3+2b)+x(bx+2a^2)\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-1c4fdb2c2c30a14b33a0b801bf2076ac_l3.png\" "\\"Rendered")
<\/p>\n\u03ba\u03b1\u03b9 \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03ce \u03bd\u03b1 \u03c3\u03c5\u03bd\u03b5\u03c7\u03af\u03c3\u03c9 \u03c3\u03c4\u03bf \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03bf \u03c3\u03c4\u03ac\u03b4\u03b9\u03bf \u03b1\u03c6\u03bf\u03cd \u03bf\u03b9 \u03c0\u03b1\u03c1\u03b5\u03bd\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03b4\u03b9\u03b5\u03c2 \u03ba\u03b9 \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03b4\u03b5\u03bd \u03ad\u03c7\u03c9 \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1. \u0391\u03bd \u03cc\u03bc\u03c9\u03c2 \u03b4\u03b9\u03b1\u03bb\u03ad\u03be\u03bf\u03c5\u03bc\u03b5 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2: <\/p>\n
<\/span> <\/span>
<\/p>\n<\/span> <\/span>
![\"\[=(ax^3+bx^2)+(2ab+2a^2x)=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-bf388b485b6467a2b68862232f1a7b8b_l3.png\" "\\"Rendered")
<\/p>\n<\/span> <\/span>
![\"\[=x^2(ax+b)+2a(b+ax)=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-9069a8cebb485de188d30af38f417633_l3.png\" "\\"Rendered")
<\/p>\n<\/span> <\/span>
![\"\[=(ax+b)(x^2+2a)\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-602cabd8ccd812c2310d64d6c4ade67e_l3.png\" "\\"Rendered")
<\/p>\n\u03b5\u03af\u03bc\u03b1\u03c3\u03c4\u03b5 \u03b5\u03bd\u03c4\u03ac\u03be\u03b5\u03b9.
\n(\u03b3) \u0391\u03bd \u03bf\u03b9 \u03c0\u03b1\u03c1\u03b5\u03bd\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03b8\u03b1 \u03bc\u03b1\u03c2 \u03bc\u03b5\u03af\u03bd\u03bf\u03c5\u03bd \u03ba\u03b1\u03c4\u03ac \u03c4\u03bf \u03c0\u03c1\u03ce\u03c4\u03bf \u03c3\u03c4\u03ac\u03b4\u03b9\u03bf \u03c4\u03b7\u03c2 \u03c0\u03b1\u03c1\u03b1\u03b3\u03bf\u03bd\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03ba\u03b1\u03c4\u03ac \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bd\u03c4\u03af\u03b8\u03b5\u03c4\u03b5\u03c2 \u03b1\u03c5\u03c4\u03cc \u03b4\u03b9\u03bf\u03c1\u03b8\u03ce\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b5\u03cd\u03ba\u03bf\u03bb\u03b1 \u03b1\u03c1\u03ba\u03b5\u03af \u03bd\u03b1 \u03b1\u03bb\u03bb\u03ac\u03be\u03bf\u03c5\u03bc\u03b5 \u03c0\u03c1\u03cc\u03c3\u03b7\u03bc\u03bf \u03ad\u03be\u03c9 \u03b1\u03c0\u03cc \u03bc\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ad\u03bd\u03b8\u03b5\u03c3\u03b7 (\u03cc\u03c0\u03bf\u03b9\u03b1 \u03b8\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5) \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b1\u03bb\u03bb\u03ac\u03be\u03bf\u03c5\u03bc\u03b5 \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03c0\u03c1\u03cc\u03c3\u03b7\u03bc\u03b1 \u03bc\u03ad\u03c3\u03b1 \u03c3\u03b5 \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03ad\u03bd\u03b8\u03b5\u03c3\u03b7. \u0394\u03b5\u03af\u03c4\u03b5 \u03c4\u03bf <\/p>\n<\/span> <\/span>
![\"\[x^3- x^2 - 2x +2=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-61edf42d4b83ce902cd3be97ce39979d_l3.png\" "\\"Rendered")
<\/p>\n<\/span> <\/span>
![\"\[=x^2(x-1)+2(-x+1)\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-235bfa88700793fe5261575d04047d6c_l3.png\" "\\"Rendered")
<\/p>\n\u039f\u03b9 \u03c0\u03b1\u03c1\u03b5\u03bd\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bd\u03c4\u03af\u03b8\u03b5\u03c4\u03b5\u03c2, \u03c4\u03bf \u03b4\u03b9\u03bf\u03c1\u03b8\u03ce\u03bd\u03c9 \u03b5\u03af\u03c4\u03b5 \u03b1\u03bb\u03bb\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c0\u03c1\u03cc\u03c3\u03b7\u03bc\u03bf \u03c3\u03c4\u03b7 \u03c0\u03c1\u03ce\u03c4\u03b7 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03b3\u03c1\u03ac\u03c6\u03bf\u03bd\u03c4\u03b1\u03c2 – \u03c72<\/sup> \u03b1\u03bd\u03c4\u03af \u03b3\u03b9\u03b1 \u03c4\u03bf \u03c72<\/sup> \u03b5\u03af\u03c4\u03b5 \u03b3\u03c1\u03ac\u03c6\u03bf\u03bd\u03c4\u03b1\u03c2 -2 \u03c3\u03c4\u03b7 \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03b7 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03b1\u03bd\u03c4\u03af \u03b3\u03b9\u03ac \u03c4\u03bf 2 \u03ba\u03b9 \u03ad\u03c4\u03c3\u03b9 \u03b8\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 <\/p>\n
<\/span> <\/span>
![\"\[x^3- x^2- 2x +2=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-96469f14e9e347f700a8ad85961f8a55_l3.png\" "\\"Rendered")
<\/p>\n<\/span> <\/span>
![\"\[=x^2(x-1)+2(-x+1)=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-77a65980377fd79df90c3b17d8c858ea_l3.png\" "\\"Rendered")
<\/p>\n<\/span> <\/span>
![\"\[=x^2(x-1) - 2(x-1)=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-4888d2cf19be0a18aaa90ae1c0b40ed8_l3.png\" "\\"Rendered")
<\/p>\n<\/span> <\/span>
![\"\[=(x-1)(x^2 - 2)\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-076e4832b74f74d1d523dedbc7836376_l3.png\" "\\"Rendered")
<\/p>\n\u0394\u03b9\u03ac\u03bb\u03b5\u03be\u03b1 \u03c4\u03b5\u03bb\u03b9\u03ba\u03ac \u03c4\u03b7\u03bd \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03b7 \u03c0\u03b1\u03c1\u03ad\u03bd\u03b8\u03b5\u03c3\u03b7 \u03ad\u03ba\u03b1\u03bd\u03b1 \u03c4\u03bf +2, -2 \u03b1\u03bb\u03bb\u03ac \u03ac\u03bb\u03bb\u03b1\u03be\u03b1 \u03ba\u03b1\u03b9 \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03c0\u03c1\u03cc\u03c3\u03b7\u03bc\u03b1 \u03bc\u03ad\u03c3\u03b1 \u03c3\u03c4\u03b7 \u03c0\u03b1\u03c1\u03ad\u03bd\u03b8\u03b5\u03c3\u03b7 \u03b1\u03c5\u03c4\u03ae<\/span>.<\/p>\n
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[nextpage title=”\u03a4\u03b1\u03c5\u03c4\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2”]<\/h3>\n
“\u03a4\u03b1\u03c5\u03c4\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2”<\/h3>\n
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- \n
- \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03ae \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03c3\u03c4\u03bf \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf
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(1)<\/li>\n - \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03ae \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03c3\u03c4\u03bf \u03ba\u03cd\u03b2\u03bf
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(2)<\/li>\n - \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03c9\u03bd
![\"a^2-b^2=(a-b)(a+b)\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-f166b029cb430731400eb0f1185efe9e_l3.png\" "\\"Rendered")
(3)<\/li>\n<\/ul>\n![\"\u0392\u03b1\u03c3\u03b9\u03ba\u03ad\u03c2](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/uploads\/2019\/07\/taytothtes-300x192.png\")
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<\/span> <\/span>
![\"\[x^2+5x+6=x^2+2x+3x+6=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-555264472649b050b2ea6e89d3231207_l3.png\" "\\"Rendered")
<\/p>\n<\/span> <\/span>
![\"\[x(x+2)+3(x+2)=(x+2)(x+3)\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-fc66a37b21e57c3bd63bf842331734fd_l3.png\" "\\"Rendered")
<\/p>\n\u03a0\u03b1\u03c1\u03b1\u03c4\u03ae\u03c1\u03b7\u03c3\u03b7:
\n\u03b1) \u03a4\u03bf \u03cc\u03c4\u03b9 \u03b5\u03c0\u03b9\u03bb\u03ad\u03be\u03b1\u03bc\u03b5 \u03bd\u03b1 \u03c3\u03c0\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf 5\u03c7 \u03c3\u03b5 2\u03c7+3\u03c7 \u03cc\u03c0\u03c9\u03c2 \u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03b8\u03b7\u03ba\u03b5 \u03ba\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03b4\u03b5\u03bd \u03ae\u03c4\u03b1\u03bd \u03c4\u03c5\u03c7\u03b1\u03af\u03bf. \u0395\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03bf\u03bb\u03cc\u03ba\u03bb\u03b7\u03c1\u03b7 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03c0\u03bf\u03c5 \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03b6\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03c4\u03bf \u03c3\u03c7\u03bf\u03bb\u03b9\u03ba\u03cc \u03b2\u03b9\u03b2\u03bb\u03af\u03bf \u03c9\u03c2 \u03b7 “\u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03c4\u03c1\u03b9\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5”<\/strong> \u03c0\u03bf\u03c5 \u03bc\u03b5 \u03bb\u03af\u03b3\u03b1 \u03bb\u03cc\u03b3\u03b9\u03b1 \u03bb\u03ad\u03b5\u03b9 \u03c4\u03bf \u03b5\u03be\u03ae\u03c2: \u038c\u03c4\u03b1\u03bd \u03b8\u03ad\u03bb\u03c9 \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03c4\u03c1\u03ad\u03c8\u03c9 \u03c3\u03b5 \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03bc\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03bc\u03bf\u03c1\u03c6\u03ae\u03c2![\"x^2+Ax+\Gamma\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-1f3c109d3138d578645e4a0de3254480_l3.png\" "\\"Rendered")
\u03c0\u03c1\u03bf\u03c3\u03c0\u03b1\u03b8\u03ce \u03bd\u03b1 \u03b2\u03c1\u03c9 \u03b4\u03c5\u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03bd \u03c4\u03bf\u03c5\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b8\u03ad\u03c3\u03c9 \u03bd\u03b1 \u03ba\u03ac\u03bd\u03bf\u03c5\u03bd \u0391 \u03b5\u03bd\u03ce \u03b1\u03bd \u03c4\u03bf\u03c5\u03c2 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03c3\u03c9 \u03bd\u03b1 \u03ba\u03ac\u03bd\u03bf\u03c5\u03bd \u0393. \u0391\u03bd \u03ba\u03b1\u03c4\u03b1\u03c6\u03ad\u03c1\u03c9 \u03bd\u03b1 \u03b2\u03c1\u03c9 \u03b1\u03c5\u03c4\u03bf\u03cd\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2, \u03ad\u03c3\u03c4\u03c9 \u03cc\u03c4\u03b9 \u03b1\u03c5\u03c4\u03bf\u03af \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03ba \u03ba\u03b1\u03b9 \u03bf \u03bb, \u03c4\u03cc\u03c4\u03b5 \u03c4\u03bf \u03c4\u03c1\u03b9\u03ce\u03bd\u03c5\u03bc\u03bf \u03c0\u03b1\u03af\u03c1\u03bd\u03b5\u03b9 \u03c4\u03b7 \u03bc\u03bf\u03c1\u03c6\u03ae ![\"(x+\kappa)(x+\lambda)\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-1d19b2a9719fe13716999ac7b8a161e6_l3.png\" "\\"Rendered")
. \u0388\u03c4\u03c3\u03b9 \u03bb\u03bf\u03b9\u03c0\u03cc\u03bd \u03c3\u03c4\u03bf \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03b5\u03af\u03c7\u03b1\u03bc\u03b5: \u0393\u03b9\u03b1 \u03c4\u03bf \u03c4\u03c1\u03b9\u03ce\u03bd\u03c5\u03bc\u03bf ![\"x^2+5x+6\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-d242f7166e8a8af3f2d9ab8896c69d59_l3.png\" "\\"Rendered")
\u03b1\u03bd\u03b1\u03b6\u03b7\u03c4\u03bf\u03cd\u03bc\u03b5 \u03ad\u03bd\u03b1 \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd \u03c0\u03bf\u03c5 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03af\u03c3\u03bf \u03bc\u03b5 6 \u03ba\u03b1\u03b9 \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03af\u03c3\u03bf \u03bc\u03b5 5. \u03a0\u03c1\u03b9\u03bd \u03b1\u03c0\u03b1\u03bd\u03c4\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b1\u03bc\u03ad\u03c3\u03c9\u03c2 \u03c0\u03bf\u03b9\u03bf\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c5\u03c4\u03bf\u03af \u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03b1\u03c2 \u03c3\u03ba\u03b5\u03c6\u03c4\u03bf\u03cd\u03bc\u03b5 \u03bb\u03af\u03b3\u03bf:<\/p>\n- \n
- \u039e\u03b5\u03ba\u03b9\u03bd\u03ac\u03bc\u03b5 \u03b1\u03c0\u03cc \u03c4\u03bf \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03b4\u03b9\u03cc\u03c4\u03b9 \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03bb\u03af\u03b3\u03b5\u03c2 \u03b1\u03c0\u03b1\u03bd\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2. \u0395\u03bd\u03ce \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 5 \u03bc\u03c0\u03bf\u03c1\u03ce \u03bd\u03b1 \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03af\u03c3\u03c9 \u03bc\u03b5 \u03ac\u03c0\u03b5\u03b9\u03c1\u03b1 \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9\u03b1 \u03b1\u03ba\u03b5\u03c1\u03b1\u03af\u03c9\u03bd (\u03c0.\u03c7. (2,3) , (6,-1) , (100,-95) \u03ba.\u03b1.) , \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf 6 \u03bc\u03c0\u03bf\u03c1\u03ce \u03bd\u03b1 \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03af\u03c3\u03c9 \u03bc\u03cc\u03bd\u03bf \u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2: (1,6) , (2,3) , (-1,-6) \u03ba\u03b1\u03b9 (-2,-3).<\/li>\n
- \u0391\u03c0\u03cc \u03c4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9\u03b1 \u03bc\u03cc\u03bd\u03bf \u03c4\u03bf \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9 2 \u03ba\u03b1\u03b9 3 \u03c0\u03bb\u03b7\u03c1\u03bf\u03af \u03c4\u03b9\u03c2 \u03c0\u03c1\u03bf\u03cb\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c6\u03bf\u03cd \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03ac \u03c4\u03bf\u03c5\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 5 \u03c4\u03bf \u03b4\u03b5 \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03cc \u03c4\u03bf\u03c5\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 6.<\/li>\n
- \u0386\u03c1\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5
![\"x^2+5x+6=(x+2)(x+3)\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-dfe9d03ba37456dcd5b452a4a9d31838_l3.png\" "\\"Rendered")
<\/li>\n<\/ol>\n\u03a4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03c4\u03b1 \u03c4\u03b1\u03ba\u03c4\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03ba\u03b1\u03b9 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c0\u03b9\u03bd\u03b1\u03ba\u03ac\u03ba\u03b9 \u03c9\u03c2 \u03b5\u03be\u03ae\u03c2:<\/p>\n
\n\n
\n \n
- \u039c\u03ad\u03b8\u03bf\u03b4\u03bf \u03c4\u03b7\u03c2 \u039f\u03bc\u03b1\u03b4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 <\/strong><\/span>\u03b1\u03bb\u03bb\u03ac \u03b1\u03bd \u03b4\u03b5\u03bd \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bf\u03cd\u03c4\u03b5 \u03ba\u03b9 \u03b1\u03c5\u03c4\u03ae \u03b8\u03b1 \u03ba\u03bf\u03b9\u03c4\u03ac\u03be\u03bf\u03c5\u03bc\u03b5 \u03bc\u03ae\u03c0\u03c9\u03c2 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1<\/li>\n
![\"\[x^2+5x+6=(x+\kappa)(x+\lambda)\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-5bcc6894e6aa6e0676f04c6e76789f73_l3.png\" "\\"Rendered")
<\/p>\n<\/td>\n<\/tr>\n![\"\[x^2+5x+6=(x+2)(x+3)\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-b234a4926a5d8989c266f06d5fb0c470_l3.png\" "\\"Rendered")
<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n![\"\u03a0\u03b1\u03c1\u03b1\u03b3\u03bf\u03bd\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/uploads\/2019\/07\/trionimo-factorization-300x153.jpg\")
![\"\[x^4-x^3+x^2-1=(x^4-x^3)+(x^2-1)=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-ad423832274d127fdaf02fe778dc0054_l3.png\" "\\"Rendered")
<\/p>\n![\"\[x^3(x-1)+(x-1)(x+1)=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-66d674da339e3a3ff3f6682b65c22b7f_l3.png\" "\\"Rendered")
<\/p>\n![\"\[(x-1)(x^3+(x+1))=(x-1)(x^3+x+1)\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-dd03b7d1a184b8647883cb112805184d_l3.png\" "\\"Rendered")
<\/p>\n![\"x^2+2xy+y^2+2x+2y\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-4f3857ba7a945d5f18955f8683fc2718_l3.png\" "\\"Rendered")
\u03bc\u03c0\u03bf\u03c1\u03ce \u03bd\u03b1 \u03ba\u03ac\u03bd\u03c9 \u03bf\u03bc\u03b1\u03b4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 (\u03b1\u03c6\u03bf\u03cd \u03c0\u03c1\u03ce\u03c4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03c4\u03ae\u03c1\u03b7\u03c3\u03b1 \u03cc\u03c4\u03b9 \u03b4\u03b5\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03ba\u03bf\u03b9\u03bd\u03cc\u03c2 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2) \u03c7\u03c9\u03c1\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b9\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 “\u03b1\u03bd\u03bf\u03c1\u03b8\u03cc\u03b4\u03bf\u03be\u03b1” \u03c0\u03b1\u03af\u03c1\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c0\u03c1\u03ce\u03c4\u03b7 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03c4\u03b1 ![\"(x^2+2xy+y^2)\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-8812c13d3d5c02d2c9104283522d43ab_l3.png\" "\\"Rendered")
\u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03ad\u03c7\u03bf\u03c5\u03bd \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1 \u03b1\u03bb\u03bb\u03ac \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03b1\u03c5\u03c4\u03cc\u03c4\u03b7\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03b8\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 ![\"(x^2+2xy+y^2)=(x+y)^2\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-6d259b27fa48c865653467783682c4ea_l3.png\" "\\"Rendered")
\u03ba\u03b1\u03b9 \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03b7 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03bc\u03b5 \u03b4\u03cd\u03bf \u03ba\u03bf\u03bc\u03bc\u03ac\u03c4\u03b9\u03b1 \u03c4\u03b7\u03bd ![\"2x+2y\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-27630641c0aae6c55362184601e0f391_l3.png\" "\\"Rendered")
\u03c0\u03bf\u03c5 \u03ad\u03c7\u03b5\u03b9 \u03ba\u03bf\u03b9\u03bd\u03cc \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1 \u03c4\u03bf 2 \u03ba\u03b1\u03b9 \u03b8\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 ![\"2x+2y=2(x+y)\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-fa2537d988436cc0fb8069a4cc8a7a6c_l3.png\" "\\"Rendered")
\u03ba\u03b9 \u03ad\u03c4\u03c3\u03b9 \u03b8\u03b1 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c8\u03bf\u03c5\u03bd \u03af\u03b4\u03b9\u03b5\u03c2 \u03c0\u03b1\u03c1\u03b5\u03bd\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2. \u0391\u03c2 \u03c4\u03bf \u03b4\u03bf\u03cd\u03bc\u03b5 \u03ba\u03b9 \u03b1\u03c5\u03c4\u03cc <\/p>\n![\"\[x^2+2xy+y^2+2x+2y=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-eb8f7c3d4fc7b2c936459f8cf5521532_l3.png\" "\\"Rendered")
<\/p>\n![\"\[=(x^2+2xy+y^2)+(2x+2y)=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-3c2abd1ec468d9f8ff910c9cbf61502a_l3.png\" "\\"Rendered")
<\/p>\n![\"\[(x+y)^2+2(x+y)=\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-f1e46d3df2240f0815a6c3a8b4330897_l3.png\" "\\"Rendered")
<\/p>\n![\"\[(x+y)[(x+y)+2]=(x+y)(x+y+2)\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-ece88aba969727eb2de061c03c2b938b_l3.png\" "\\"Rendered")
<\/p>\n![\"\[A^2-B^2\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-6f4d02aa13f270aa3ecf253f109809c0_l3.png\" "\\"Rendered")
<\/p>\n<\/td>\n![\"\[(A\pm B)^2\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-9bc5516a99fce75d5a8821d62d35b24f_l3.png\" "\\"Rendered")
<\/p>\n<\/td>\n![\"\[(A\pm B)^3\]\"](\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-be6234d3276af08a28080130a92b8af3_l3.png\" "\\"Rendered")
<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"