计算:(x^2+2xy+y^2)/(x^2y+xy^2)-(x^2-2xy+y^2)/(x^2y-xy^2)
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![计算:(x^2+2xy+y^2)/(x^2y+xy^2)-(x^2-2xy+y^2)/(x^2y-xy^2)](/uploads/image/z/1782119-47-9.jpg?t=%E8%AE%A1%E7%AE%97%3A%28x%5E2%2B2xy%2By%5E2%29%2F%28x%5E2y%2Bxy%5E2%29-%28x%5E2-2xy%2By%5E2%29%2F%28x%5E2y-xy%5E2%29)
计算:(x^2+2xy+y^2)/(x^2y+xy^2)-(x^2-2xy+y^2)/(x^2y-xy^2)
计算:(x^2+2xy+y^2)/(x^2y+xy^2)-(x^2-2xy+y^2)/(x^2y-xy^2)
计算:(x^2+2xy+y^2)/(x^2y+xy^2)-(x^2-2xy+y^2)/(x^2y-xy^2)
:(x^2+2xy+y^2)/(x^2y+xy^2)-(x^2-2xy+y^2)/(x^2y-xy^2)
=(x+y)^2/[xy(x+y)]-(x-y)^2/[xy(x-y)]
=(x+y)/xy-(x-y)/xy
=(x+y-x+y)/xy
=2y/xy
=2/x