помогите пж !!!!!!!!!!. Created by kiryanov123345. algebra-ru

помогите пж !!!!!!!!!!...

belovaksenia2007

$x>0\ ,\ y>0\\\\\Big(\dfrac{x-y}{x^{3/4}+x^{1/2}y^{1/4}}-\dfrac{x^{1/2}-y^{1/2}}{x^{1/4}+y^{1/4}}\Big)\cdot \Big(\dfrac{y}{x}\Big)^{-1/2}=\\\\\\=\Big(\dfrac{(x^{1/4}-y^{1/4})(x^{1/4}+y^{1/4})(x^{1/2}+y^{1/2})}{x^{1/2}\cdot (x^{1/4}+y^{1/4})}-\dfrac{(x^{1/4}-y^{1/4})(x^{1/4}+y^{1/4})}{x^{1/4}+y^{1/4}}\Big)\cdot \Big(\dfrac{x}{y}\Big)^{1/2}=$

$=\Big(\dfrac{(x^{1/4}-y^{1/4})(x^{1/2}+y^{1/2})}{x^{1/2}}-(x^{1/4}-y^{1/4})\Big)\cdot \dfrac{x^{1/2}}{y^{1/2}}=\\\\\\=\dfrac{(x^{1/4}-y^{1/4})(x^{1/2}+y^{1/2}-x^{1/2})}{x^{1/2}}\cdot \dfrac{x^{1/2}}{y^{1/2}}=\dfrac{(x^{1/4}-y^{1/4})\cdot y^{1/2}\cdot x^{1/2}}{x^{1/2}\cdot y^{1/2}}=\\\\\\=x^{1/4}-y^{1/4}=\sqrt[4]{x}-\sqrt[4]{y}$

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