(x+y)^2(x-y)^3-(-x-y)^3(y-x)^2

如题所述

第1个回答  2019-03-27
(x+y)^2(x-y)^3-(-x-y)^3(y-x)^2=(x+y)^2(x-y)^3-(-1)^3(-1)^2(x+y)^3(x-y)^2=(x+y)^2(x-y)^3+(x+y)^3(x-y)^2=(x+y)^2(x-y)^2[(x-y)+(x+y)]=2x(x+y)²(x-y)²

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问题疑为:(x+y)^3(x-y)^2-(x+y)(x-y)(x^2-y^2)(x+y)^3(x-y)^2-(x+y)(x-y)(x^2-y^2)=(x+y)^3(x-y)^2-(x+y)^2(x-y)^3 =(x+y)^2(x-y)^2[x+y-x+y]=2y(x+y)^2(x-y)^2

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