Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 7 - Rational Functions - 7.2 Simplifying Rational Expressions - 7.2 Exercises: 28

Answer

$= 3t^{3} + 4t + \frac{6}{5}$

Work Step by Step

$\frac{15t^{4}+20t^{2}+6t}{5t}$ $= \frac{t(15t^{3}+20t+6)}{t(5)}$ $= \frac{15t^{3}+20t+6}{5}$ $= \frac{15t^{3}}{5} + \frac{20t}{5} + \frac{6}{5}$ $= \frac{3t^{3}}{1} + \frac{4t}{1} + \frac{6}{5}$ $= 3t^{3} + 4t + \frac{6}{5}$
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