(x+y)^4(x-y)^2-(x+y)^2(y-x)^4因式分解

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(x+y)^4(x-y)^2-(x+y)^2(y-x)^4因式分解
(x+y)^4(x-y)^2-(x+y)^2(y-x)^4因式分解

(x+y)^4(x-y)^2-(x+y)^2(y-x)^4因式分解
(x+y)^4(x-y)^2-(x+y)^2(y-x)^4
=(x+y)^4(x-y)^2-(x+y)^2(x-y)^4
=(x+y)^2(x-y)^2[(x+y)^2-(x-y)^2]
=4xy(x+y)^2(x-y)^2