x的5次方+y的5次方―(x的4次方y+xy的4次方)

2024-12-23 09:38:27
推荐回答(1个)
回答1:

是想因式分解吧?
x^5+y^5-(x^4*y+x*y^4)
=(x^5-x^4*y)+(y^5-x*y^4)
=x^4(x-y)+y^4(y-x)
=(x-y)(x^4-y^4)
=(x-y)(x^2-y^2)(x^2+y^2)
=(x-y)(x-y)(x+y)(x^2+y^2)
=(x+y)(x^2+y^2)(x-y)^2

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