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: 10

Answer

$\frac{9x+20}{(x+4)(x-4)}$

Work Step by Step

$\frac{5}{x-4}$+$\frac{4x}{x^{2}-16}$= $\frac{5}{x-4}$+$\frac{4x}{(x+4)(x-4)}$= $\frac{5(x+4)}{(x-4)(x+4)}$+$\frac{4x}{(x+4)(x-4)}$= $\frac{5(x+4)+4x}{(x+4)(x-4)}$= $\frac{5x+20+4x}{(x+4)(x-4)}$= $\frac{9x+20}{(x+4)(x-4)}$
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