将X⁴Y+X³Y²-X²Y²-XY⁴因式分解

问题描述:

将X⁴Y+X³Y²-X²Y²-XY⁴因式分解

X⁴Y+X³Y²-X²Y³-XY⁴ (这里可能是Y³)=xy(x³+x²y-xy²-y³)=xy[x²(x+y)-y²(x+y)]=xy(x+y)(x²-y²)=xy(x+y)²(x-y)不是,是Y²如果是Y²,只能走一步X⁴Y+X³Y²-X²Y²-XY⁴ =xy(x³+x²y-xy-y³)