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因式分解:(x-2y)乘x的3次方-(y-2x)乘y的3次方
人气:374 ℃ 时间:2019-09-09 17:33:32
解答
(x-2y)乘x的3次方-(y-2x)乘y的3次方
=x^4-2x^3y^-y^4+2xy^3
=(x^2+y^2)(x+y)(x-y)-2xy(x+y)(x-y)
=(x^2-2xy+y^2)(x+y)(x-y)
=(x-y)^3(x+y)
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