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: 56

Answer

$(\sqrt[3]{a}+2)(\sqrt[3]{a}+7)=\sqrt[3]{a^{2}}+9\sqrt[3]{a}+14$

Work Step by Step

$(\sqrt[3]{a}+2)(\sqrt[3]{a}+7)$ Evaluate the product: $(\sqrt[3]{a}+2)(\sqrt[3]{a}+7)=\sqrt[3]{a^{2}}+7\sqrt[3]{a}+2\sqrt[3]{a}+14=...$ Simplify by combining like terms: $...=\sqrt[3]{a^{2}}+(7+2)\sqrt[3]{a}+14=\sqrt[3]{a^{2}}+9\sqrt[3]{a}+14$
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