Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Review: 88

Answer

$2x\sqrt {3x}$

Work Step by Step

$x\sqrt {75x}-\sqrt {27x^{3}}$ =$x\sqrt {25\times3\times x}-\sqrt {9\times3\times x \times x^{2}}$ =$x\sqrt {5^{2}\times3\times x}-\sqrt {3^{2}\times3\times x \times x^{2}}$ =$5x\sqrt {3x}-3x\sqrt {3x}$ =$(5x-3x)\sqrt {3x}$ =$2x\sqrt {3x}$
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