Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.4 - Adding, Subtracting, and Multiplying Radical Expressions - Exercise Set: 55

Answer

$(\sqrt[3]{a}-4)(\sqrt[3]{a}+5)=\sqrt[3]{a^{2}}+\sqrt[3]{a}-20$

Work Step by Step

$(\sqrt[3]{a}-4)(\sqrt[3]{a}+5)$ Evaluate the product: $(\sqrt[3]{a}-4)(\sqrt[3]{a}+5)=\sqrt[3]{a^{2}}+5\sqrt[3]{a}-4\sqrt[3]{a}-20=...$ Now, simplify by combining like terms: $...=\sqrt[3]{a^{2}}+(5-4)\sqrt[3]{a}-20=\sqrt[3]{a^{2}}+\sqrt[3]{a}-20$
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