已知M/x^2-y^2=2xy-y^2/x^2-y^2+x-y/x+y,则M=

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已知M/x^2-y^2=2xy-y^2/x^2-y^2+x-y/x+y,则M=已知M/x^2-y^2=2xy-y^2/x^2-y^2+x-y/x+y,则M=已知M/x^2-y^2=2xy-y^2/x^

已知M/x^2-y^2=2xy-y^2/x^2-y^2+x-y/x+y,则M=
已知M/x^2-y^2=2xy-y^2/x^2-y^2+x-y/x+y,则M=

已知M/x^2-y^2=2xy-y^2/x^2-y^2+x-y/x+y,则M=
右边=(2xy-y²)/(x²-y²)+(x-y)²/(x+y)(x-y)
=(2xy-y²+x²-2xy+y²)/(x²-y²)
=x²/(x²-y²)
所以M=x²

=(2xy-y²)/(x²-y²)+(x-y)²/(x+y)(x-y)
=(2xy-y²+x²-2xy+y²)/(x²-y²)
=x²/(x²-y²)
所以M=x²