Expansion of $(3 x + 2)^{3}$ is $27 x^{3} + 8 + 18 x (3 x + 2)$

True

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False

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Solution

The correct option is A True
${(3 x + 2)}^{3}$
$= {(3 x)}^{3} + {(2)}^{3} + 18 x (3 x + 2)$
$= 27 x^{3} + 8 + 54 x^{2} + 36 x$
$= 27 x^{3} + 8 + 18 x (3 x + 2)$

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