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: 29

Answer

$= \frac{3x}{4} - 2 + \frac{1}{4x}$

Work Step by Step

$\frac{3x^{4}-8x^{3}+x^{2}}{4x^{3}}$ $= \frac{x^{2}(3x^{2}-8x+1)}{x^{2}(4x)}$ $= \frac{3x^{2}-8x+1}{4x}$ $= \frac{3x^{2}}{4x} - \frac{8x}{4x} + \frac{1}{4x}$ $= \frac{3x}{4} - 2 + \frac{1}{4x}$
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