把多项式分解因式:x³+x²y-xy²-y³,
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把多项式分解因式:x³+x²y-xy²-y³,
把多项式分解因式:x³+x²y-xy²-y³,
把多项式分解因式:x³+x²y-xy²-y³,
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
合并同类项,利用平方差公式,最后化解得到(x—y)(x+y)的平方。。。