Question

计算：(x^-1+y^-1)^2*(1/x^2+2xy+y^2)^-1

Answer 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