若M/x²-y²-x-y/x+y=2xy-y²/x²-y²求M的值希望有具体过程真的很急

若M/x²-y²-x-y/x+y=2xy-y²/x²-y²求M的值希望有具体过程真的很急
若M/x²-y²-x-y/x+y=2xy-y²/x²-y²求M的值
希望有具体过程真的很急

若M/x²-y²-x-y/x+y=2xy-y²/x²-y²求M的值希望有具体过程真的很急
解
M/(x²-y²)-(x-y)/(x+y)——是这个吗?
=M/(x²-y²)-(x-y)²/(x²-y²)
=[M-(x²-y)²]/(x²-y²)
=[M-x²+2yx-y²]/(x²-y²)
=(2xy-y²)/(x²-y²)
∴M-x²=0
∴M=x²