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

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: 81

Answer

$7(a+5b)$

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 both terms. $7a+35b=7(a+5b)$
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