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: 121

Answer

$$2x\sqrt{x-1}$$

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: $$ \sqrt{x^3-x^2}+\sqrt{9x^3-9x^2}-\sqrt{4x^3-4x^2} \\ x\sqrt{x-1}+3x\sqrt{x-1}-2x\sqrt{x-1}\\ 2x\sqrt{x-1}$$
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