Factor.
\[
w^{2}+12 w+36
\]

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

Answer

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