Question

Помогите упростить выражение.

Answer 1

$( frac{y}{xy-x^2} + frac{x}{xy-y^2} ) : frac{x^2+2xy+y^2}{ frac{1}{x}+ frac{1}{y} } = \ \ =( frac{y}{-x(x-y)} + frac{x}{y(x-y)} ) : frac{(x+y)^2}{ frac{y+x}{xy}} = \ \ =(- frac{y}{x(x-y)} + frac{x}{y(x-y)} ) * frac{frac{y+x}{xy}}{ (x+y)^2} = \ \ = frac{-y*y +x*x}{xy(x-y)} * frac{y+x}{xy} * frac{1}{(x+y)^2} = \ \ = frac{x^2-y^2}{xy(x-y)} * frac{x+y}{xy(x+y)^2} = frac{(x-y)(x+y)*(x+y)}{xy(x-y)*xy(x+y)^2}= \ \ = frac{1}{(xy)^2} = frac{1}{x^2y^2}$

Answer 2

Спасибо.

Answer 3

Пожалуйста)