Question

Factor 4x2 + 12x + 8.

Answer 1

The answer is 4(x+1)(x+2).

Explanation:

First, you have to simplify the expression by taking out the common terms :

`4 {x}^(2) + 12x + 8`

`= 4( {x}^(2) + 3x + 2)`

Next, you have to factorize it by elaborating :

`4( {x}^(2) + 3x + 2)`

`= 4( {x}^(2) + x + 2x + 2)`

`= 4(x(x + 1) + 2(x + 1))`

`= 4(x + 1)(x + 2)`

Answer 2

4(X+2)(X+1)

solution,

`4 {x}^(2) + 12x + 8 \\ = 4( {x}^(2) + 3x + 2) \\ = 4( {x}^(2) + (2 + 1)x + 2) \\ = 4( {x}^(2) + 2x + x + 2) \\ = 4(x(x + 2) + 1(x + 2) \\ = 4(x + 2)(x + 1)`