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Q.

The coefficient of $x$ in the expansion of ${(x + 3)}^{3}$ is:

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a

1

b

18

c

9

d

27

answer is D.

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Detailed Solution

Given, a polynomial

{(x + 3)}^{3} .

We need to find the coefficient of

x

in the expansion of

{(x + 3)}^{3} .

Using the formula,

{(a + b)}^{3} = a^{3} + b^{3} + 3 a^{2} b + 3 a b^{2}

Substituting the values of

a

and

b

,

{(x + 3)}^{3} = x^{3} + 27 + 9 x^{2} + 27

Therefore, coefficient of

x

is 27.
Hence, the correct option is 4.

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The coefficient of x in the expansion of x+33 is: