Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 9 - Cumulative Review Exercises - Page 686: 25


$$(2x - 7)(2x + 7)$$

Work Step by Step

On observation, we can see that this expression is the difference of two squares. The form for expressions written as the difference of two cubes is: $$(A - B)(A + B)$$ where $A$ is the square root of the leading term and $B$ is the square root of the last term. In this problem, we have $A$ as $\sqrt (4x^2)$ or $2x$ and $B$ as $\sqrt 49$ or $7$. We plug these values into the formula: $$(2x - 7)(2x + 7)$$
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.