Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Section 7.4 - Adding and Subtracting Rational Expressions with Different Denominators - Exercise Set: 65

Answer

$\frac{25a}{9(a-2)}$

Work Step by Step

$\frac{5a+10}{18}$ $\div$ $\frac{a^{2}-4}{10a}$= $\frac{5(a+2)}{18}$ $\times$ $\frac{10a}{a^{2}-4}$= $\frac{5(a+2)}{18}$ $\times$ $\frac{10a}{(a+2)(a-2)}$= $\frac{5(a+2)10a}{18(a+2)(a-2)}$ =$\frac{5*10a}{18(a-2)}$= $\frac{50a}{18(a-2)}$=$\frac{25a}{9(a-2)}$
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