把多项式分解因式:x³+x²y-xy²-y³,
问题描述:
把多项式分解因式:x³+x²y-xy²-y³,
答
解
x³+x²y-xy²-y³
=x²(x+y)-y²(x+y)
=(x²-y²)(x+y)
=(x-y)(x+y)(x+y)
=(x-y)(x+y)²