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

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 $\text{ not factorable .}$
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