## Intermediate Algebra (12th Edition)

$\bf{\text{Solution Outline:}}$ 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 $\text{ not factorable .}$