Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-4 Adding and Subtracting Rational Expressions - Practice and Problem-Solving Exercises: 16

Answer

$\frac{1}{t+1}$

Work Step by Step

Since we already have common denominators, we can add and simplify the numerators: $\frac{2t}{2t^2 -t -3} - \frac{3}{2t^2 -t -3} =\frac{2t - 3}{2t^2 -t -3}$ We now need to factor the denominator to see if there are any common factors: $\frac{2t - 3}{2t^2 -t -3}= \frac{2t - 3}{(2t-3)(t+1)}$; $(2t - 3)$ will cancel from the numerator and denominator: $ \frac{2t - 3}{(2t-3)(t+1)} = \frac{1}{t+1}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.