Question

Огромная просьба с решением

Answer 1

$1); ; ; left (frac{2}{x^{1/4}-y^{1/4}} + frac{2}{x^{1/4}+y^{1/4}}right )cdot frac{x^ {-1/2}-y^{-1/2}}{6x^{-1/4}y^{-1/2}} =\\= frac{2(x^{1/4}+y^{1/4}+x^{1/4}-y^{1/4})}{x^{1/2}-y^{1/2}} cdot frac{(y^{1/2}-x^{1/2})x^{1/4}y^{1/2}}{6cdot x^{1/2}y^{1/2}} =frac{2x^{1/4}cdot x^{1/4}y^{1/2}}{-3x^{1/2}y^{1/2}} = -frac{2}{3}$

$2); ; ; left ( frac{(x^{1/3}+x^{-1/3})^2-2}{(x^{1/3}-x^{-1/3})^2+2} -xright )^{3/4}=left ( frac{left (x^{frac{1}{3}}+frac{1}{x^{1/3}}right )^2-2}{left(x^{1/3}-frac{1}{x^{1/3}}right )^2+2} -xright )^{frac{3}{4}}=\\=left ( frac{(x^{2/3}+1)^2-2x^{2/3}}{ (x^{2/3}-1)^2+2x^{2/3}} -xright )^{3/4}=left ( frac{x^{4/3}+1}{x^{4/3}+1}-x right )^{3/4}=(1-x)^{3/4}$