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Question

Question 18
The coefficient of x in the expansion of (x+3)3 is

A) 1
B) 9
C) 18
D) 27

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Solution

(x+3)3=x3+33+3x(3)(x+3)
[Using identity (a+b)3=a3+b3+3ab(a+b)]
=x3+27+9x(x+3)
=x3+27+9x2+27x
Hence, the coefficient of x in (x+3)3 is 27
So, the answer is D.

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