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

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

Answers (1)

(D) 27

Solution

The given expansion is (x+3)3

Using (a+b)^{3}=a^{3}+b^{3}+3a^{2}b+3ab^{3}  in above expansion we get

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

Here the coefficient of x is 27

Therefore option (D) is correct

 

Posted by

infoexpert24

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