Answer
$\frac{1}{t+1}$
Work Step by Step
Given : $\frac{2t}{2t^{2}-t-3} - \frac{3}{2t^{2}-t-3}$
This becomes : $\frac{2t-3}{(t+1)(2t-3)}$
(Since they have the same denominator)
$= \frac{1}{t+1}$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 11 - Rational Expressions and Functions - 11-4 Adding and Subtracting Rational Expressions - Practice and Problem-Solving Exercises - Page 687: 16
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