Answer
$(x+2)^2$
Work Step by Step
RECALL:
$a^2+2ab+b^2=(a+b)^2$
The given trinomial can be written as:
$=x^2+2(x)(2) + 2^2$
This trinomial is in the same form as the perfect square trinomial above where $a=x$ and $b=2$.
Factor the perfect square trinomial using the formula above to obtain:
$=(x+2)^2$