Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Review - Page 557: 18

Answer

$\dfrac{2x+5}{x-6}\cdot\dfrac{2x}{-x+6}=-\dfrac{2x(2x+5)}{(x-6)^{2}}$

Work Step by Step

$\dfrac{2x+5}{x-6}\cdot\dfrac{2x}{-x+6}$ Change the sign of both the numerator and the denominator of the second fraction: $\dfrac{2x+5}{x-6}\cdot\dfrac{2x}{-x+6}=\dfrac{2x+5}{x-6}\cdot\dfrac{-2x}{x-6}=...$ Evaluate the product and simplify if possible: $...=-\dfrac{2x(2x+5)}{(x-6)^{2}}$
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