College Algebra (6th Edition)

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

Chapter P - Summary, Review, and Test - Review Exercises - Page 91: 110

Answer

$\frac{x-3}{x-6}$

Work Step by Step

Use trial and error and the formula $a^2-b^2=(a+b)(a-b)$ to factor the numerator and denominator, and then divide. The domain includes all real numbers except for $6$ and $-6$ because they make the original expression undefined. $\frac{x^2+3x-18}{x^2-36}$ $\frac{(x+6)(x-3)}{(x+6)(x-6)}$ $\frac{x-3}{x-6}$
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