Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.5 - Rational Expressions - Exercises - Page 48: 36

Answer

$\frac{(t-3)}{(t+3)(t-2)}$

Work Step by Step

$\frac{t^2-t-6}{t^2+6t+9}\frac{t+3}{t^2-4}=\frac{(t+2)(t-3)}{(t+3)^2}\frac{t+3}{(t+2)(t-2)}=\frac{(t+2)(t-3)(t+3)}{(t+3)^2(t+2)(t-2)}=\frac{(t-3)}{(t+3)(t-2)}$
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