Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Section 7.5 - Integrated Review - Summary on Rational Expressions: 15

Answer

Answer: $\frac{25a}{9a - 18}$

Work Step by Step

$\frac{5a + 10}{18}$ $\div$ $\frac{a^{2}-4}{10a}$ $\frac{5a + 10}{18}$ $\div$ $\frac{a^{2}+4}{10a}$ = $\frac{5a + 10}{18}$ $\times$ $\frac{10a}{a^{2}-4}$ = $\frac{5(a+2)}{2(9)}$ $\times$ $\frac{2(5a)}{(a+2)(a-2)}$ = $\frac{5}{9}$ $\times$ $\frac{5a}{(a-2)}$ ...(Since $\frac{2}{2}$ = 1 and $\frac{(a+2)}{(a+2)}$ = 1) = $\frac{25a}{9a - 18}$
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