分解因式:x(x+y)(x-y)-x(x+y)^2(x-y)

来源:百度知道 编辑:UC知道 时间:2024/09/23 16:15:53

x(x+y)(x-y)-x(x+y)^2(x-y)

= x(x - y)(x + y)(1- x - y)

x(x+y)(x-y)-x(x+y)^2(x-y)
=(x+y)(x-y)[x-x(x+y)]
=(x+y)(x-y)(x-x^2-xy)
=x(1-x-y)(x+y)(x-y)

x(x+y)(x-y)-x(x+y)^2(x-y)
=x(x+y)(x-y)[1-(x+y)]
=x(x+y)(x-y)(1-x-y)

如果没有看错的话,提出一个x(x+y)(x-y)就可以了吧:
x(x+y)(x-y)(1-x-y)

如果有说错的地方请多多包涵。。。。。。毕竟实力有限。。。。。。。