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: 14


Distributive property: a(b + c) = ab + ac

Work Step by Step

The distributive property states that when we multiply a number by a sum of two numbers, we would get the same result as if we multiplied the number by each of the terms and then added the results. The expression 2(A + B) = 2A + 2B shows exactly this: multiplying 2 by the sum of A and B would yield the same result as multiplying 2 by A and B and then adding the results.
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