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Indices — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSIndices2 Marks
Question
Simplify : $\left(x^{\frac{1}{3}}-x^{-\frac{1}{3}}\right)\left(x^{2 / 3}+1+x^{-2 / 3}\right)$
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Answer

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

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