Which of the following is the factored for of the expression below 4x^2+12x+9

Step-by-step explanation:

to solve this problem, multiply the a and the c. In this problem, a is 4 and c is 9

4 (9) = 36

what two numbers multiply to get 36 and then add up to get b which is 12.

6 (6)

write the new value in the equation as b

4x^2 + 6x + 6x + 9

Now that you have four numbers, split the equations

(4x^2 + 6x) + (6x + 9)

take out the common factors

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

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

Since the solutions are the same

we write it as

(2x + 3) ^2