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: 70

Answer

$(\sqrt[3]{3}+\sqrt[3]{2})(\sqrt[3]{9}-\sqrt[3]{4})=1-\sqrt[3]{12}+\sqrt[3]{18}$

Work Step by Step

$(\sqrt[3]{3}+\sqrt[3]{2})(\sqrt[3]{9}-\sqrt[3]{4})$ Evaluate the product and simplify if possible: $(\sqrt[3]{3}+\sqrt[3]{2})(\sqrt[3]{9}-\sqrt[3]{4})=\sqrt[3]{27}-\sqrt[3]{12}+\sqrt[3]{18}-\sqrt[3]{8}=...$ $...=3-\sqrt[3]{12}+\sqrt[3]{18}-2=1-\sqrt[3]{12}+\sqrt[3]{18}$
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