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: 9



Work Step by Step

$\frac{3}{x+2}$-$\frac{2x}{x^{2}-4}$= $\frac{3}{x+2}$-$\frac{2x}{(x+2)(x-2)}$= $\frac{3(x-2)}{(x+2)(x-2)}$-$\frac{2x}{(x+2)(x-2)}$= $\frac{3(x-2)-2x}{(x+2)(x-2)}$= $\frac{3x-6-2x}{(x+2)(x-2)}$= $\frac{x-6}{(x+2)(x-2)}$
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