Question

What is the coefficient of x2 in the expansion of(x+2)3

Answer 1

6

Explanation:

Answer 2

First expand:


`(x+2)(x+2)(x+2)`


`(x^2+4x+4)(x+2)`


`(x^3+2x^2+4x^2+8x+4x+8)`

Now combine like terms:


`x^3+6x^2+12x+8`

A coefficient is a number that is in front of an x. The number in front of the x squared term is 6.

So the answer is 6.