Algebra 1: Common Core (15th Edition)

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 688: 32

Answer

$\frac{5t+5-4t^{2}}{t^{2}(t+1)}$

Work Step by Step

Given : $\frac{5}{t^{2}} - \frac{4}{t+1}$ This becomes : $\frac{5(t+1)}{t^{2}(t+1)} - \frac{4t^{2}}{t^{2}(t+1)}$ (Finding the least common denominator) $= \frac{5(t+1)-4t^{2}}{t^{2}(t+1)}= \frac{5t+5-4t^{2}}{t^{2}(t+1)}$
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