Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Cumulative Review: 45

Answer

$\dfrac{3}{x-2}$

Work Step by Step

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