Answer
$(x+2+3y)(x+2-3y)$.
Work Step by Step
The given expression is
$\Rightarrow x^2+4x+4-9y^2$
Factor each term.
$\Rightarrow x^2+2(2)(x)+2^2-(3y)^2$
Use the perfect square trinomial formula
$A^2+2(A)(B)+B^2=(A+B)^2$.
$\Rightarrow (x+2)^2-(3y)^2$
Use the formula $A^2-B^2=(A+B)(A-B)$.
$\Rightarrow (x+2+3y)(x+2-3y)$.
