College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.4 - Rational Exponents and Radicals - P.4 Exercises: 46

Answer

$(y-1)\sqrt[3]{2y}$

Work Step by Step

Factor each radicand so that one of the factors is a perfect cube to obtain: $=\sqrt[3]{y^3(2y)} -\sqrt[3]{2y}$ Simplify each radical to obtain: $=y\sqrt[3]{2y} -\sqrt[3]{2y}$ Combine like radicals to obtain: $=(y-1)\sqrt[3]{2y}$
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