Question

ПОМОГИТЕ ПОЖАЛУЙСТА СРОЧНО!!!!!!!!!!!!ПОД БУКВОЙ Г))))))

Answer 1

$\frac{x^4-y^4}{x^3+y x^2-xy^2-y^3}-2y= \frac{(x^2-y^2)(x^2+y^2)}{x^2(x+y)-y^2(x+y)} -2y= \frac{(x^2-y^2)(x^2+y^2)}{(x+y)(x^2-y^2)}-2y=\\\\= \frac{x^2+y^2-2y(x+y)}{x+y} = \frac{(x^2+y^2-2xy)-2y^2}{x+y} = \frac{(x-y)^2-2y^2}{x+y} =\\\\=\frac{(x-y-\sqrt2y)(x-y+\sqrt2y)}{x+y} = \frac{(x-(1+\sqrt2)y)(x-(1-\sqrt2)y)}{x+y}$