Question

30 БАЛЛОВ! Помогите упростить выражение, пожалуйста!

Answer 1

$displaystyle (frac{2}{x^{1/4}-y^{1/4}}+frac{2}{x^{1/4}+y^{1/4}})*frac{x^{-1/2}-y^{-1/2}}{6x^{-1/4}y^{-1/2}}=\\frac{2(x^{1/4}+y^{1/4})+2(x^{1/4}-y^{1/4})}{x^{1/2}-y^{1/2}}*frac{x^{-1/2}-y^{-1/2}}{6x^{-1/4}y^{-1/2}}=\\=frac{4x^{1/4}*frac{y^{1/2}-x^{1/2}}{x^{1/2}y^{1/2}} }{(x^{1/2}-y^{1/2})*6x^{-1/4}y^{-1/2}}=-frac{4x^{1/4}*frac{y^{1/2}-x^{1/2}}{x^{1/2}y^{1/2}}}{(y^{1/2}-x^{1/2})*6x^{-1/4}y^{-1/2}}=$
$displaystyle -frac{2}{3}*x^{1/4}x^{1/4}y^{1/2}x^{-1/2}y^{-1/2}=-frac{2}{3}*x^{1/2-1/2}y^{1/2-1/2}=-frac{2}{3}$

Answer 2

Я уже сама решила

Answer 3

И получила -2/3

Answer 4

Все. Теперь правильно..))

Answer 5

)))))