The coefficient of 'x' in the expansion of $(x + 2)^{3}$ is _____.

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Solution

The correct option is D
12
$(x + 2)^{3} = x^{3} + 2^{3} + 3 x (2) (x + 2)$ $[u s i n g (a + b)^{3} = a^{3} + b^{3} + 3 a b (a + b)]$
$(x + 2)^{3} = x^{3} + 8 + 6 x (x + 2)$
$(x + 2)^{3} = x^{3} + 8 + 6 x^{2} + 12 x$
Hence, the coefficient of $x$ in $(x + 2)^{3} i s 12.$

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