(x+2y)/(x^2 - y^2) - (x+2y)/(x^2 - y^2) - (2x-3y)/(y^2 - x^2)

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(x+2y)/(x^2 - y^2) - (x+2y)/(x^2 - y^2) - (2x-3y)/(y^2 - x^2)

(x+2y)/(x^2 - y^2) - (x+2y)/(x^2 - y^2) - (2x-3y)/(y^2 - x^2)
(x+2y)/(x^2 - y^2) - (x+2y)/(x^2 - y^2) - (2x-3y)/(y^2 - x^2)

(x+2y)/(x^2 - y^2) - (x+2y)/(x^2 - y^2) - (2x-3y)/(y^2 - x^2)
(x+2y)/(x^2 - y^2) - (x+2y)/(x^2 - y^2) - (2x-3y)/(y^2 - x^2) =(2x-3y) /(x+y)(x-y)
麻烦采纳,谢谢!