Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 11 - Polynomial and Rational Functions - Exercises to Skills Review for Chapter 11 - Page 494: 43

Answer

$\frac{2}{l^2}+\frac{1}{l^3}-\frac{4}{3l^4}$

Work Step by Step

Splitting the fraction into a sum of fractions leaves $$=\frac{6l^2}{3l^4}+\frac{3l}{3l^4}-\frac{4}{3l^4}=\frac{6}{3} \cdot \frac{l^2}{l^4}+\frac{3}{3} \cdot \frac{l}{l^4}-\frac{4}{3l^4}=\frac{2}{l^{4-2}}+\frac{1}{l^{4-1}}-\frac{4}{3l^4}$$ $$=\frac{2}{l^2}+\frac{1}{l^3}-\frac{4}{3l^4}$$
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