Question

Помогите решить, срочно:

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

Answer 1

$frac{(x^{2} - y^{2})^2}{x^{2} + 2xy + y^{2}} : (frac{1}{x^{2}} - frac{1}{y^{2}})= \ \ = frac{(x^{2} - y^{2})^2}{(x+y)^2}*frac{x^2*y^2}{y^2-x^2}=-frac{x^2y^2(x^2-y^2)}{(x+y)^2}= \ \ = -frac{x^2y^2(x-y)}{x+y}=frac{x^2y^3-x^3y^2}{x+y}$