Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.1 - The Greatest Common Factor - Practice - Page 418: 10

Answer

$ (a+2)(b+7)$

Work Step by Step

$ab+7a+2b+14 = a(b+7) + 2(b+7)$ The binomial $(b+7)$ is present in both terms and is the greatest common factor. We use the distributive property to factor out $(b+7)$ $ab+7a+2b+14 = a(b+7) + 2(b+7) = (a+2)(b+7)$
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.

GradeSaver will pay $15 for your literature essays
GradeSaver will pay $25 for your college application essays
GradeSaver will pay $50 for your graduate school essays – Law, Business, or Medical
GradeSaver will pay $10 for your Community Note contributions
GradeSaver will pay $500 for your Textbook Answer contributions