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The coefficient of x in the expansion...

The coefficient of `x` in the expansion of `(x+3)^(3)`is

A

1

B

9

C

18

D

27

Text Solution

Verified by Experts

The correct Answer is:
D
Now, `(x+3)^(3)=x^(3)+3^(3)+3x(3)(x+3)`
`" " ["using identity ", (a+b)^(3)=a^(3)+b^(3)+3ab(a+b)]`
`=x^(3)+27+9x(x+3)`
`=x^(3)+27+9x^(2)+27x`
Hence , the coefficient of x in `(x+3)^(3)` is 27.
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