Answer
not factorable
Work Step by Step
$\bf{\text{Solution Outline:}}$
The given expression, $
225p^2+256
,$ is prime.
$\bf{\text{Solution Details:}}$
A binomial that can be factored either has a $GCF$, is a difference of $2$ squares, or is a sum/difference of $2$ cubes. The given expression does not have a $GCF.$ It is also not a difference of two squares because the terms are separated by a plus sign. It is also not a sum/difference of $2$ cubes because the terms are not perfect cubes. Hence, it is $\text{
not factorable
.}$
