Question

Выполните деление: (х+у)^2/(х+у)^2-(х-у)^2:(х/у-у/х).

Answer 1

$frac{(x+y)^{2}}{(x+y)^{2}-(x-y)^{2}}:( frac{x}{y} - frac{y}{x})=frac{(x+y)^{2}}{(x+y-(x-y))(x+y+(x-y))}: frac{x^{2}-y^{2}}{xy}= \ = frac{(x+y)^{2}}{2y*2x}* frac{xy}{(x-y)(x+y)}= frac{x+y}{4(x-y)}$