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: 29

Answer

$2y\sqrt[3] {2x}$

Work Step by Step

$\sqrt[3] {54xy^3}-5\sqrt[3] {2xy^3}+y\sqrt[3] {128x}$ Factor. $\sqrt[3] {27y^3}\sqrt[3] {2x}-5\sqrt[3] {y^3}\sqrt[3] {2x}+y\sqrt[3] {64}\sqrt[3] {2x}$ Simplify. $3y\sqrt[3] {2x}-5y\sqrt[3] {2x}+4y\sqrt[3] {2x}$ Combine like radicals. $2y\sqrt[3] {2x}$
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