Question

Довести тождество, помогите, умоляююю!!!

Answer 1

$( frac{x+y}{x} - frac{2x}{x-y} )cdot frac{y-x}{x^2+y^2} = frac{(x+y)(x-y)-2xcdot x}{x(x-y)} cdot frac{y-x}{x^2+y^2} = frac{x^2-y^2-2x^2}{x(x-y)} cdot frac{y-x}{x^2+y^2} = \ = frac{-x^2-y^2}{x(x-y)} cdot frac{y-x}{x^2+y^2} = frac{-(x^2+y^2)}{x(x-y)} cdot frac{-(x-y)}{x^2+y^2} = frac{(x^2+y^2)(x-y)}{x(x-y)(x^2+y^2)}=frac{1}{x}$

Answer 2

СПАСИИИБО!