Question

помогите пожалуйста , полный ответ

Answer 1

(1/(∛a+∛b))-((∛a+∛b)/(∛a²-∛ab+∛b²))=

(∛a²-∛ab+∛b²-(∛a+∛b)²)/(a+b)=(∛a²-∛ab+∛b²-∛a²-∛b²-∛(ab))/(a+b)=

-2∛(ab/(a+b))

Answer 2

   $\frac{1}{\sqrt[3]{a}+\sqrt[3]{b}}-\frac{\sqrt[3]{a}+\sqrt[3]{b}}{a^{\frac{2}{3}}-\sqrt[3]{ab}+b^{\frac{2}{3}}}=$

$=\frac{1*(a^{\frac{2}{3}}-\sqrt[3]{ab}+b^{\frac{2}{3}})-(\sqrt[3]{a}+\sqrt[3]{b} )(\sqrt[3]{a}+\sqrt[3]{b})}{(\sqrt[3]{a}+\sqrt[3]{b})*(a^{\frac{2}{3}}-\sqrt[3]{ab}+b^{\frac{2}{3}})}=$

$=\frac{a^{\frac{2}{3}}-\sqrt[3]{ab}+b^{\frac{2}{3}}-(a^{\frac{2}{3}}+2\sqrt[3]{ab}+b^{\frac{2}{3}})}{a+b}=$

$=\frac{a^{\frac{2}{3}}-\sqrt[3]{ab}+b^{\frac{2}{3}}-a^{\frac{2}{3}}-2\sqrt[3]{ab}-b^{\frac{2}{3}}}{a+b}=$

$=\frac{-3\sqrt[3]{ab}}{a+b} =-\frac{3\sqrt[3]{ab}}{a+b}$