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: 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 $(b+7)$ $ab+7a+2b+14 = a(b+7) + 2(b+7) = (a+2)(b+7)$
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