Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Section 7.2 - Multiplying and Dividing Rational Expressions - Exercise Set - Page 501: 78

Answer

$\frac{xy(xy-1)}{12}$

Work Step by Step

$(\frac{x^2y^2-xy}{4x-4y}\div\frac{3y-3x}{8x-8y})*\frac{y-x}{8}$ $\frac{x^2y^2-xy}{4x-4y}*\frac{8x-8y}{3y-3x}*\frac{y-x}{8}$ $\frac{xy(xy-1)}{4(x-y)}*\frac{8(x-y)}{3(y-x)}*\frac{y-x}{8}$ $\frac{xy(xy-1)}{4}*\frac{8}{3(y-x)}*\frac{y-x}{8}$ $\frac{xy(xy-1)}{12}*\frac{1}{(y-x)}*\frac{y-x}{1}$ $\frac{xy(xy-1)}{12}*\frac{1}{1}*\frac{1}{1}$ $\frac{xy(xy-1)}{12}$
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