(x+y)*x^2/x^2-y^2+y^2/x-y-(2x^2y-2xy^2)/(x^2-2xy+y^2)
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(x+y)*x^2/x^2-y^2+y^2/x-y-(2x^2y-2xy^2)/(x^2-2xy+y^2)
![(x+y)*x^2/x^2-y^2+y^2/x-y-(2x^2y-2xy^2)/(x^2-2xy+y^2)](/uploads/image/z/18175100-68-0.jpg?t=%28x%2By%29%2Ax%5E2%2Fx%5E2-y%5E2%2By%5E2%2Fx-y-%282x%5E2y-2xy%5E2%29%2F%28x%5E2-2xy%2By%5E2%29)
(1)(x+y)·x^2-y^2分之x^2 +x-y分之y^2 -(2x^2y-2xy^2)÷(x^2-2xy+y^2)
=(x+y)*x²/(x+y)(x-y)+y²/(x-y)-2xy(x-y)/(x-y)²
=x²/(x-y)+y²/(x-y)-2xy/(x-y)
=(x²+y²-2xy)/(x-y)
=(x-y)²/(x-y)
=x-y
=(x+y)*x²/(x+y)(x-y)+y²/(x-y)-2xy(x-y)/(x-y)²
=x²/(x-y)+y²/(x-y)-2xy/(x-y)
=(x²+y²-2xy)/(x-y)
=(x-y)²/(x-y)
=x-y
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