Answer
$(4y+3)^{2}$
Work Step by Step
$ 16y^{2}+24y+9\qquad$...recognize a perfect square trinomial.
$(A\pm B)^{2}=A^{2}\pm 2AB+B^{2}$; $A=4y,\ B=3$
$=(4y+3)^{2}$
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