College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.6 - Page 86: 40

Answer

$\frac{x-2}{x+2}$

Work Step by Step

Since both expressions have common denominators, you can simply combine their numerators. $\frac{x^2-4x}{x^2-x-6}-\frac{x-6}{x^2-x-6}$ $\frac{x^2-5x+6}{x^2-x-6}$ $\frac{(x-2)(x-3)}{(x+2)(x-3)}$ $\frac{x-2}{x+2}$
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