作业帮x(x+y)(x-y)-y(y+x)(y-x)=(x-y)( )填空
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/09 19:52:47
x(x+y)(x-y)-y(y+x)(y-x)=(x-y)( )填空
x(x+y)(x-y)-y(y+x)(y-x)
=x(x+y)(x-y)+(y+x)(x-y)
=(x+y)(x-y)(x+1)
=(x-y)(x+y)(x+1)
=(x-y)(x^2+x+xy+y)
再问： =(x-y)(x^2+x+xy+y)你可确定答案，和我算的不一样？！
再答： 不好意思我做错了，下面是正确的 x(x+y)(x-y)-y(y+x)(y-x) =x(x+y)(x-y)+y(y+x)(x-y) =(x+y)(x-y)(x+y) =(x-y)(x+y)^2
再问： 我说嘛，谢了
再答： 呵呵，不好意思啊~~~
=x(x+y)(x-y)+(y+x)(x-y)
=(x+y)(x-y)(x+1)
=(x-y)(x+y)(x+1)
=(x-y)(x^2+x+xy+y)
再问： =(x-y)(x^2+x+xy+y)你可确定答案，和我算的不一样？！
再答： 不好意思我做错了，下面是正确的 x(x+y)(x-y)-y(y+x)(y-x) =x(x+y)(x-y)+y(y+x)(x-y) =(x+y)(x-y)(x+y) =(x-y)(x+y)^2
再问： 我说嘛，谢了
再答： 呵呵，不好意思啊~~~