Question

因式分解121(a^2-2ab+b^2)-169(a^2+2ab-b^2)

Answer 1

121(a^2-2ab+b^2)-169(a^2+2ab+b^2)
=【11(a-b)】²皮棚-【13(a+b)】²
=（腔洞11a-11b+13a+13b）（11a-11b-13a-13b）伍握枯
=(24a+2b)(-2a-24b)
=-4(12a+b)(a+12b)

Answer 2

121(a^2-2ab+b^2)-169(a^2+2ab+b^2)
=121(a-b)²-169(a+b)²
=[11(a-b)-13(a+b)][11(a-b)+13(a+b)]
=(11a-11b-13a-13b)(11a-11b+13a+13b)
=(-2a-24b)(24a+2b)
=-4(a+12b)(12a+b)

Answer 3

121(a^2-2ab+b^2)-169(a^2+2ab-b^2)
=[11(a-b)]^2-[13(a+b)]^2
=(11a-11b+13a+13b)(11a-11b-13a-13b)
=(24a+2b)(-2a-24b)
=-4(12a+b)(a+12b)

Answer 4

121(a^2-2ab+b^2)-169(a^2+2ab+b^2)
=11^2(a-b)^2-13^2(a+b)^2
=(11a-11b+13a+13b)(11a-11b-13a-13b)
=(24a+2b)(-2a-24b)
=-4(12a+b)(a+12b)