Answer
The statement is false. A true version could be
$x^{2}+4x+4=(x+2)(x+2)$
Work Step by Step
Using the FOIL method, simplify the RHS:
$(x+2)(x+2)=x^{2}+2x+2x+4$
$=x^{2}+4x+4$
The statement is false. A true version could be
$x^{2}+4x+4=(x+2)(x+2)$