The coefficient of x in the expansion of (x+3 | vedclass

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Question

(C) Using the binomial expansion formula $(a+b)^{3} = a^{3} + 3a^{2}b + 3ab^{2} + b^{3}$,we expand $(x+3)^{3}$:$(x+3)^{3} = x^{3} + 3(x^{2})(3) + 3(x)

Vedclass · Accepted Answer

$27$

Vedclass · Answer

(C) Using the binomial expansion formula $(a+b)^{3} = a^{3} + 3a^{2}b + 3ab^{2} + b^{3}$,we expand $(x+3)^{3}$:$(x+3)^{3} = x^{3} + 3(x^{2})(3) + 3(x)(3^{2}) + 3^{3}$$= x^{3} + 9x^{2} + 3(x)(9) + 27$$= x^{3} + 9x^{2} + 27x + 27$The term containing $x$ is $27x$. Therefore,the coefficient of $x$ is $27$.Hence,the correct option is $(C)$.

The coefficient of $x$ in the expansion of $(x+3)^{3}$ is

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