Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.5 Expressions Containing Several Radical Terms - 10.5 Exercise Set - Page 662: 124


$$ (2x-2x^2)\sqrt[4]{x+1}$$

Work Step by Step

In order to simplify the expression, we first simplify each of the terms, and then we combine like terms. Doing this, we find: $$ \sqrt[4]{16x^4+16x^5}-2\sqrt[4]{x^8+x^9}\\ 2x\sqrt[4]{x+1}-2x^2\sqrt[4]{x+1}\\ (2x-2x^2)\sqrt[4]{x+1}$$
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