Which of these quadratic expressions is equivalent to
x^2 + 12x +32

A. (2x+8)(x+2)
B. (x+8)(x+4)
C. (x+2)(2x+6)
D. (x+2)(x+6)

Respuesta :

Answer:

B. (x+8)(x+4)

Step-by-step explanation:

[tex] {x}^{2} + 12x + 32 \\ = {x}^{2} + 8x + 4x + 32 \\ = x(x + 8) + 4(x + 8) \\ \red { \bold{ = (x + 8)(x + 4) }}[/tex]