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: 33

Answer

$= 2g^{3}h - 6g^{2}+ \frac{4}{h}$

Work Step by Step

$\frac{10g^{5}h^{3}-30g^{4}h^{2}+20g^{2}h}{5g^{2}h^{2}}$ $= \frac{5g^{2}h(2g^{3}h^{2}-6g^{2}h+4)}{5g^{2}h(h)}$ $= \frac{2g^{3}h^{2}-6g^{2}h+4}{h}$ $= \frac{2g^{3}h^{2}}{h} - \frac{6g^{2}h}{h} + \frac{4}{h}$ $= \frac{h(2g^{3}h)}{h} - \frac{h(6g^{2})}{h} + \frac{4}{h}$ $= 2g^{3}h - 6g^{2}+ \frac{4}{h}$
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