化简x^2-y^2/xy÷(x+y)+x^2+2xy+y^2/x^2y+xy^2-x^2-2xy+y^2/x^2y-xy^2

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化简x^2-y^2/xy÷(x+y)+x^2+2xy+y^2/x^2y+xy^2-x^2-2xy+y^2/x^2y-xy^2
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化简x^2-y^2/xy÷(x+y)+x^2+2xy+y^2/x^2y+xy^2-x^2-2xy+y^2/x^2y-xy^2
化简x^2-y^2/xy÷(x+y)+x^2+2xy+y^2/x^2y+xy^2-x^2-2xy+y^2/x^2y-xy^2

化简x^2-y^2/xy÷(x+y)+x^2+2xy+y^2/x^2y+xy^2-x^2-2xy+y^2/x^2y-xy^2
x^2-y^2/xy÷(x+y)+x^2+2xy+y^2/x^2y+xy^2-x^2-2xy+y^2/x^2y-xy^2
=(x-y)(x-y)/[xy(x+y)]+(x+y)²/[xy(x+y)]-(x-y)²/[xy(x-y)]
=(x-y)/xy+(x+y)/(xy)-(x-y)([xy)
=(x-y+x+y-x+y)/(xy)
=(x+y)/(xy)