Answer
$(3p-4)^2$
Work Step by Step
RECALL:
$a^2 - 2ab + b^2=(a-b)^2$
The given trinomial can be written as:
$=(3p)^2 - 2(3p)(4) + (4)^2$
Factor the trinomial using the formula above with $a=3p$ and $b=4$ to have:
$=(3p-4)^2$