因式分解(1)4-12(x-y)+9(x-y)2;(2)2a(x2+1)2-8ax2.-数学

题目简介

因式分解(1)4-12(x-y)+9(x-y)2;(2)2a(x2+1)2-8ax2.-数学

题目详情

因式分解
(1)4-12(x-y)+9(x-y)2
(2)2a(x2+1)2-8ax2
题型:解答题难度:中档来源:不详

答案

(1)4-12(x-y)+9(x-y)2,
=22-2×2×3(x-y)+[3(x-y)]2,
=[2-3(x-y)]2,
=(2-3x+3y)2;

(2)2a(x2+1)2-8ax2,
=2a[(x2+1)2-4x2],
=2a(x2+1-2x)(x2+1+2x),
=2a(x-1)2(x+1)2.

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