Question

The coefficient of x in the expansion of (x+2)^3 is :

Answer 1

i hope this will surely help u..

Answer 2

Answer:

12

Step-by-step explanation:

Formula:

(a + b)³ = a³ + b³ + 3a²b + 3ab²

Applying the formula:

(x + 2)³ = x³ + 2³ + 3(x)²(2) + 3(x)(2)²

(x + 2)³ = x³ + 2³ + 6x² + 12x

Therefore the coefficient of x is 12.

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To prove the expansion of (a + b)³:

(a + b)³ = (a + b) (a + b) (a + b)

(a + b)³ = (a + b) (a² + ab + ab + b²)

(a + b)³ = (a + b) (a² + 2ab + b²)

(a + b)³ = a³ + 2a²b + ab² + a²b + 2ab² + b³

(a + b)³ = a³ + b³ + 3a²b + 3ab²