计算:(x^-1+y^-1)^2*(1/x^2+2xy+y^2)^-1

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计算:(x^-1+y^-1)^2*(1/x^2+2xy+y^2)^-1
计算:(x^-1+y^-1)^2*(1/x^2+2xy+y^2)^-1

计算:(x^-1+y^-1)^2*(1/x^2+2xy+y^2)^-1
(x^-1+y^-1)^2*(1/x^2+2xy+y^2)^-1
=[(x+y)/(xy)]²*[1/(x+y)²]^(-1)
=(x+y)²/(xy)² *(x+y)²
=(x+y)^4/(xy)²