Using suitable identity, find the value of $102^{3}$ .

1061228

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1061218

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1061238

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1061208

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Solution

The correct option is D 1061208
Using the identity,
$(a + b)^{3} = a^{3} + b^{3} + 3 a b (a + b)$ ,

$\Rightarrow$ $102^{3}$ $= (100 + 2)^{3}$

$= 100^{3} + 2^{3} + 3 \times 100 \times 2 (100 + 2)$

$= 1000000 + 8 + 600 (102)$
$= 1000000 + 8 + 61200$
$= 1061208$

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