分解因式 x(x-y)(x²-xy-y²)-x²y(y-x)
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/27 13:47:52
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分解因式 x(x-y)(x²-xy-y²)-x²y(y-x)
分解因式 x(x-y)(x²-xy-y²)-x²y(y-x)
分解因式 x(x-y)(x²-xy-y²)-x²y(y-x)
原式=x(x-y)(x²-xy-y²)+x²y(x-y)
=x(x-y)(x²-xy-y²+xy)
=x(x-y)(x²-y²)
=x(x-y)²(x+y)
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来源:学生作业帮助网 编辑:作业帮 时间:2024/06/27 13:47:52
分解因式 x(x-y)(x²-xy-y²)-x²y(y-x)
分解因式 x(x-y)(x²-xy-y²)-x²y(y-x)
分解因式 x(x-y)(x²-xy-y²)-x²y(y-x)
原式=x(x-y)(x²-xy-y²)+x²y(x-y)
=x(x-y)(x²-xy-y²+xy)
=x(x-y)(x²-y²)
=x(x-y)²(x+y)