Answer
$(2x+y)^2$
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 trinomial can be written as:
$=(2x)^2+2(2x)(y)+y^2$
The trinomial is a perfect square.
Factor using formula (ii) above with $A=2x$ and $B=y$ to obtain:
$=(2x+y)^2$
