Answer
(m+6)(m+6)
Work Step by Step
$m^{2}$ + 12m + 36
*** We break of the middle term into two factors that add to give +12 and multiply to give 36. The two numbers are +6 and +6.
$m^{2}$ + 6m + 6m + 36
We take the GCD of the first two and the GCD of the last two terms.
m(m+6) +6(m+6)
We take (m+6) and factor it out which gives us.
(m+6)(m+6)