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:2024/05/09 14:30:00
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)

分解因式:x(x-y)(x²-xy-y²)-x²y(y-x)
x(x-y)(x²-xy-y²)-x²y(y-x)
=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)

x(x-y)(x²-xy-y²)-x²y(y-x)
=x(x-y)(x²-xy-y²+xy)
=x(x-y)(x-y)(x+y)
=x(x+y)(x-y)²;
您好,很高兴为您解答,skyhunter002为您答疑解惑
如果本题有什么不明白可以追问,如果满意记得采纳
如果有其他问题请采纳本题...

全部展开

x(x-y)(x²-xy-y²)-x²y(y-x)
=x(x-y)(x²-xy-y²+xy)
=x(x-y)(x-y)(x+y)
=x(x+y)(x-y)²;
您好,很高兴为您解答,skyhunter002为您答疑解惑
如果本题有什么不明白可以追问,如果满意记得采纳
如果有其他问题请采纳本题后另发点击向我求助,答题不易,请谅解,谢谢。
祝学习进步

收起