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Question

The coefficient of 'x' in the expansion of (x+3)3 is
  1. 1
  2. 9
  3. 18
  4. 27


Solution

The correct option is D 27
(x+3)3=x3+33+3x(3)(x+3)   [using (a+b)3=a3+b3+3ab(a+b)]
(x+3)3=x3+27+9x(x+3)
(x+3)3=x3+27+9x2+27x
Hence, the coefficient of x in (x+3)3 is 27.
 

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