Question

Помогите с ришением фотография в описании

Answer 1

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

Answer 2

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