Question

Помогите упростить выражение.

Answer 1

$[ frac{2}{x^{1/4}-y^{1/4}} + frac{2}{x^{1/4}+y^{1/4}} ]* frac{x^{-1/2}-y^{-1/2}}{6x^{-1/4}y^{-1/2}} =$

$=2* frac{x^{1/4}+y^{1/4}+x^{1/4}-y^{1/4}}{(x^{1/4}-y^{1/4})(x^{1/4}+y^{1/4})}* frac{x^{1/4}y^{1/2}(x^{-1/2}-y^{-1/2})}{2*3} =$

$= frac{1}{3} * frac{x^{1/4}+y^{1/4}+x^{1/4}-y^{1/4}}{(x^{1/4}-y^{1/4})(x^{1/4}+y^{1/4})}* frac{x^{1/4}y^{1/2}(y^{1/2}-x^{1/2})}{x^{1/2}y^{1/2}}=$

$= -frac{1}{3} * frac{2x^{1/4}}{x^{1/2}-y^{1/2}}* frac{x^{1/4}y^{1/2}(x^{1/2}-y^{1/2})}{x^{1/2}y^{1/2}}=$

$= -frac{1}{3} * frac{2}1}* frac{1}{1}=- frac{2}{3}$

Answer 2

Спасибо большое!

Answer 3

пожалуйста!