Respuesta :

CHERLYNnotCHERRY

Answer:

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

Step-by-step explanation:

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

[tex]4 {x}^{2} + 12x + 8[/tex]

[tex] = 4( {x}^{2} + 3x + 2)[/tex]

Next, you have to factorize it by elaborating :

[tex] 4( {x}^{2} + 3x + 2)[/tex]

[tex] = 4( {x}^{2} + x + 2x + 2)[/tex]

[tex] = 4(x(x + 1) + 2(x + 1))[/tex]

[tex] = 4(x + 1)(x + 2)[/tex]

TheAnimeGirl

Answer:

4(X+2)(X+1)

solution,

[tex]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)[/tex]