Question

Сократите дробь 
$frac{a-b}{ sqrt[3]{a} - sqrt[3]{b} }$

Answer 1

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