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: 32

Answer

$= 3m^{3}n^{2} - 2m + \frac{5n}{4}$

Work Step by Step

$\frac{24m^{4}n^{3}-16m^{2}n+10mn^{2}}{8mn}$ $= \frac{2mn(12m^{3}n^{2}-8m+5n)}{2mn(4)}$ $= \frac{12m^{3}n^{2}-8m+5n}{4}$ $= \frac{12m^{3}n^{2}}{4} - \frac{8m}{4} + \frac{5n}{4}$ $= \frac{3m^{3}n^{2}}{1} - \frac{2m}{1} + \frac{5n}{4}$ $= 3m^{3}n^{2} - 2m + \frac{5n}{4}$
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