Answer
$(x+12)^2$
Work Step by Step
RECALL:
A perfect square trinomial can be factored using either of the following formulas:
(i) $a^2+2ab+b^2= (a+b)^2$
(ii) $a^2-2ab+b^2=(a-b)^2$
The given perfect square trinomial can be written as:
$=x^2+2(x)(12) + 12^2$
This trinomial has the same form as the perfect square trinomial in formula (i) above.
Factor using formula (i) with $a=x$ and $b=12$ to obtain:
$=(x+12)^2$