因式分解x^3+x^2y-xy^2+y^3

问题描述:

因式分解x^3+x^2y-xy^2+y^3

符号好像有问题.
x³+x²y-xy²-y³
=x²(x+y)-y²(x+y)
=(x+y)(x²-y²)
=(x-y)(x+y)²