Question

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

Answer 1

$\textbf{Solution:}$

We use the following identity:

【 (x + y)³ = x³ + y³ + 3xy(x + y) 】

⇢(x + 3)³ = x³ + 27 + 3(x)(3)( x + 3)

⇢(x + 3)³ = x³ + 27 + 9x(x + 3)

⇢(x + 3)³ = x³ + 27 + 9x² + 27x

Therefore, the coefficient of x is 27.

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Answer 2

Hey !!

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↪We will use identity here !

↪(a + b) ^3 = a^3 + b^3 + 3a^2 b+ 3a b^2

↪(x + 3)^3 = ( x) ^3 + ( 3 )^3 + 3 ( x) ^2 ( 3 ) + 3 ( x ) ( 3 )^2

↪x ^3 + 27 + 9 x^2 + 27 x

↪x^3 + 9 x ^2 + 27x + 27

↪So coefficient of x is 27

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