Answer
yes
Work Step by Step
$8+4(a+b)\longrightarrow$ Use the distributive property.
=$8+4a+4b$
$4(2+a+b)\longrightarrow$ Use the distributive property.
=$8+4a+4b$
Both expressions can be simplfied to $8+4a+4b$ so they are equivalent.
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 18: 95
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