Question
Simplify:
$\left(x^{\frac{1}{3}}-x^{-\frac{1}{3}}\right)\left(x^{2 / 3}+1+x^{-2 / 3}\right)$
$\begin{aligned} {[\text { Hint. Given Exp. }} & =(a-b)\left(a^2+a b+b^2\right) \\ & \left.=\left(a^3-b^3\right)\right]\end{aligned}$
$\left(x^{\frac{1}{3}}-x^{-\frac{1}{3}}\right)\left(x^{2 / 3}+1+x^{-2 / 3}\right)$
$\begin{aligned} {[\text { Hint. Given Exp. }} & =(a-b)\left(a^2+a b+b^2\right) \\ & \left.=\left(a^3-b^3\right)\right]\end{aligned}$