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: 34

Answer

$= \frac{x^{2}}{2} - xy^{2}+ \frac{5y}{2x}$

Work Step by Step

$\frac{x^{4}y^{2}-2x^{3}y^{4}+5xy^{3}}{2x^{2}y^{2}}$ $= \frac{xy^{2}(x^{3}-2x^{2}y^{2}+5y)}{xy^{2}(2x)}$ $= \frac{x^{3}-2x^{2}y^{2}+5y}{2x}$ $= \frac{x^{3}}{2x} - \frac{2x^{2}y^{2}}{2x} + \frac{5y}{2x}$ $= \frac{x^{2}}{2} - \frac{2xy^{2}}{2} + \frac{5y}{2x}$ $= \frac{x^{2}}{2} - \frac{xy^{2}}{1} + \frac{5y}{2x}$ $= \frac{x^{2}}{2} - xy^{2}+ \frac{5y}{2x}$
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