Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.1 - Real Numbers - 1.1 Exercises - Page 10: 17


Commutative Property of Multiplication

Work Step by Step

The Commutative Property of Multiplication states that when we multiply two numbers, order doesn’t matter. In case of 2x(3 + y) = (3 + y)2x, it wouldn't matter if we multiplied 2x by the expression (3 + y), or the other way around, so long as (3 + y) remains enclosed in the parenthesis. On the other hand, if we wanted to get rid of the parenthesis, we would have to use the Distributive Property: 2x(3 + y) = 2x $\times$ 3 + 2x $\times$ y 2x(3 + y) = 6x + 2xy
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