
分解因式(x+y)^3(x-y)-(x+y)(x-y)^3
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原式=
(x+y)(x-y)((x+y)^2-(x-y)^2)
=(x+y)(x-y)((x+y)+(x-y))((x+y)-(x-y))
=(x+y)(x-y)(2x)(2y)
=4xy(x+y)(x-y)
(x+y)(x-y)((x+y)^2-(x-y)^2)
=(x+y)(x-y)((x+y)+(x-y))((x+y)-(x-y))
=(x+y)(x-y)(2x)(2y)
=4xy(x+y)(x-y)
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