Respuesta :

Rewrite it in the form a^2 + 2ab + b^2, where a = 2x and b = 3

(2x)^2 + 2(2x)(3) + 3^2

Use the Square of Sum: (a + b)^2 = a^2 + 2ab + b^2

(2x + 3)^2

Answer:

(2x+3) ^2

Step-by-step explanation:

4x^2 + 12x+9

This is the sum of squares

(a+b) ^2 = a^2 + 2ab+ b^2

let a = 2x  and b=3

a^2 = (2x) ^2 = 4x^2

2ab = 2*2x*3 = 12x

b^2 =9

so 4x^2 + 12x+9  factors into (2x+3) ^2