Respuesta :

Answer:

D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given

4x² + 12x + 9

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × 9 = 36 and sum = 12

The factors are 6 and 6

Use these factors to split the x- term

4x² + 6x + 6x + 9 ( factor the first/second and third/fourth terms )

= 2x(2x + 3) + 3(2x + 3) ← factor out (2x + 3) from each term

= (2x + 3)(2x + 3)

= (2x + 3)² → A