(x+y)²(x-y)+(x+y)(x-y)²如何 - 知识问答

(x+y)²(x-y)+(x+y)(x-y)²如何分解因式

1个回答

这两项有公因式(x+y)(x-y)
(x+y)²(x-y)+(x+y)(x-y)²
=(x+y)(x-y)(x+y)+(x+y)(x-y)(x-y)
=(x+y)(x-y)（x+y+x-y）
=(x+y)(x-y)(2x)
=2x(x+y)(x-y)

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