这个分式还能不能化简通分?

来源:百度知道 编辑:UC知道 时间:2024/05/31 04:29:31
(x^2+y^2+2xy)(x^2+y^2-2xy)/(x-y)(x+y)

一道题目我已经化简通分到这一步了,不知道还能不能继续?

LZ逗人玩的么?
(x^2+y^2+2xy)(x^2+y^2-2xy)/(x-y)(x+y)
=(x+y)^2(x-y)^2/(x-y)(x+y)
=(x+y)(x-y)

(x^2+y^2+2xy)(x^2+y^2-2xy)/(x-y)(x+y)
=(x+y)^2(x-y)^2/(x-y)(x+y)
=(x+y)(x-y)
郁闷。。不难吧

可以:
原式=(x+y)^2(x-y)^2/(x+y)(x-y)
=(x+y)(x-y)
=x^2-y^2

它是等于(x+y)的3次方与(x-y)的3次方的乘积

x^2-y^2

不能了