化简:(x+y-4xy/x+y)*(x-y-4xy/x-y)=

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/14 03:39:57
化简:(x+y-4xy/x+y)*(x-y-4xy/x-y)=化简:(x+y-4xy/x+y)*(x-y-4xy/x-y)=化简:(x+y-4xy/x+y)*(x-y-4xy/x-y)=题目是不是打错

化简:(x+y-4xy/x+y)*(x-y-4xy/x-y)=
化简:(x+y-4xy/x+y)*(x-y-4xy/x-y)=

化简:(x+y-4xy/x+y)*(x-y-4xy/x-y)=
题目是不是打错了一个符号.
应该是:
(x+y-4xy/(x+y))·(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)
=x²-y²