(A) The general term in the expansion of $(x + a)^n$ is given by $T_{r+1} = {}^nC_r x^{n-r} a^r$.For the expansion of $(x + 3)^6$,the general term is

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(A) The general term in the expansion of $(x + a)^n$ is given by $T_{r+1} = {}^nC_r x^{n-r} a^r$.For the expansion of $(x + 3)^6$,the general term is $T_{r+1} = {}^6C_r x^{6-r} 3^r$.To find the coefficient of $x^5$,we set the exponent of $x$ equal to $5$:$6 - r = 5 \Rightarrow r = 1$.Substituting $r = 1$ into the expression for the coefficient:Coefficient $= {}^6C_1 \times 3^1 = 6 \times 3 = 18$.

Class 11 Mathematics Binomial Theorem General term, Coefficient of any power of x, Independent term, Middle term and Greatest term and Greatest coefficient

Easy

The coefficient of $x^5$ in the expansion of $(x + 3)^6$ is

A
$18$
B
$6$
C
$12$
D
$10$

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General term, Coefficient of any power of x, Independent term, Middle term and Greatest term and Greatest coefficient

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The coefficient of $x^5$ in the expansion of $(x + 3)^6$ is

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