分解因式 x3+y3-x2y-xy2

发布时间：2021-03-15 18:23:06

分解因式 x3+y3-x2y-xy2

网友回答

x^3+y^3-x^2*y-x*y^2
=x^3-x^2*y+y^3-x*y^2
=x^2(x-y)+y^2(y-x)
=x^2(x-y)-y^2(x-y)
=(x^2-y^2)(x-y)
=(x+y)(x-y)^2
======以下答案可供参考======
供参考答案1:
x^3+y^3-x^2y-xy^2
=(x+y)(x^2-xy+y^2)-xy(x+y)
=(x+y)(x^2-xy+y^2-xy)
=(x+y)(x-y) ^2
以上问题属网友观点，不代表本站立场，仅供参考！