把下列各式分解因式: (1)a2(x-y)2+2a(x-y)3+(x-y)4 (2)(x2+y2)2-4x2y2.

把下列各式分解因式:
(1)a2(x-y)2+2a(x-y)3+(x-y)4
(2)(x2+y22-4x2y2
数学人气:677 ℃时间:2019-09-06 09:17:25
优质解答
(1)a2(x-y)2+2a(x-y)3+(x-y)4
=(x-y)2[a2+2a(x-y)+(x-y)2
=(x-y)2(a+x-y)2
(2)(x2+y22-4x2y2
=(x2+2xy+y2)(x2-2xy+y2),
=(x+y)2(x-y)2
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