Factor.
$w^{2} + 12 w + 36$

Select the correct choice below and fill in any answer box within your choice.
A. $w^{2} + 12 w + 36 = ◻$
B. $w^{2} + 12 w + 36$ is prime.

Answer

Expert–verified

Hide Steps

Answer

So, $w^{2} + 12 w + 36 = (w + 6)^{2}$ .

Steps

Step 1 ：Given the expression $w^{2} + 12 w + 36$ .

Step 2 ：Recognize that this is a perfect square trinomial.

Step 3 ：The factors of 36 that add up to 12 are 6 and 6.

Step 4 ：Therefore, the expression can be factored as $(w + 6)^{2}$ .

Step 5 ：So, $w^{2} + 12 w + 36 = (w + 6)^{2}$ .