因式分解 X^4(X-y)-y^4(X-y)

问题描述:

因式分解 X^4(X-y)-y^4(X-y)
1个回答 分类:数学 2014-10-02

问题解答:

我来补答
X^4(X-y)-y^4(X-y)
=(x-y)(x^4-y^4)
=(x-y)(x^2+y^2)(x^2-y^2)
=(x-y)(x^2+y^2)(x+y)(x-y)
=(x-y)^2(x^2+y^2)(x+y)
 
 
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