Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.

Published by Pearson

ISBN 10: 0-32184-874-8

ISBN 13: 978-0-32184-874-1

Chapter 1 - Introduction to Algebraic Expressions - 1.2 The Commutative, Associative, and Distributive Laws - 1.2 Exercise Set - Page 17: 84

Answer

$7(2a+8b+1)$

Work Step by Step

The distributive law states that $a(b+c)=ab+ac$ (for real numbers $a$, $b$, and $c$). The greatest common factor for the terms in the given expression is 7. Therefore, we can use the distributive property to factor out 7 from all 3 terms. $14a+56b+7=7(2a+8b+1)$

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