Answer
This statement is true.
Work Step by Step
$(x+2)^{2}$ = $x^{2}$ + 4x + 4
Recall: $(a+b)^{2}$ = $a^{2}$ + 2ab + $b^{2}$
Using this pattern, we expand the left side in order to simplify it.
$(x+2)^{2}$ =
$x^{2}$ + 2$\times$x$\times$2 + $2^{2}$ =
$x^{2}$ + 4x + 4
Since
$x^{2}$ + 4x + 4 is indeed equal to $x^{2}$ + 4x + 4, this statement is true.