y =(1+√( x ))^3 = 1^3 + 3(1)√( x )(1+√( x ) #160;)+ (√( x ) )^3 = 1+3√( x ) #160; + 3√( x ^2) +x = 1+3√( x ) #160; + 3√( x ^2) +x Ans ...

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Binomial Expression

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Question

Expand $y = {(1 + \sqrt[3]{x})}^{3}$

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Solution

$y = (1 + \sqrt[3]{x})^{3} = 1^{3} + 3 (1) \sqrt[3]{x} (1 + \sqrt[3]{x}) + (\sqrt[3]{x})^{3}$
$= 1 + 3 \sqrt[3]{x} + 3 \sqrt[3]{x^{2}} + x$
$= 1 + 3 \sqrt[3]{x} + 3 \sqrt[3]{x^{2}} + x$ Ans

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