怎么化简(x-y+4xy/x-y)(x+y-4xy/x+y)(/是分数线)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 04:22:00

怎么化简(x-y+4xy/x-y)(x+y-4xy/x+y)(/是分数线)
怎么化简(x-y+4xy/x-y)(x+y-4xy/x+y)(/是分数线)

怎么化简(x-y+4xy/x-y)(x+y-4xy/x+y)(/是分数线)
原式= [(x-y)^2/(x-y) + 4xy/(x-y)] [(x+y)^2/(x+y) - 4xy/(x+y)]
= {[(x-y)^2 + 4xy]/(x-y)}{[(x+y)^2 - 4xy]/(x+y)}
=[(x+y)^2/(x-y)][(x-y)^2/(x+y)]
=(x+y)(x-y)
=x^2 - Y^2