若m/x²-y²=2xy-y²/x²-y²+x-y/x+y,则m的值为

问题描述:

若m/x²-y²=2xy-y²/x²-y²+x-y/x+y,则m的值为

m/x²-y²
=[2xy-y²+(x-y)²]/(x²-y²)
=(2xy-y²+x²-2xy+y²)/(x²-y²)
=x²/(x²-y²)
所以m=x²