Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 5 - Section 5.4 - A General Approach to Factoring - 5.4 Exercises - Page 347: 7


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 $\text{ not factorable .}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.