Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.4 - Dividing by Monomials - Problem Set 5.4: 33

Answer

$4n^5-8n^2+13 $

Work Step by Step

Recall the following rule: $\frac{a^{m}}{a^{n}}=a^{m-n}$ In order to solve this problem, use the rule above and cancel out common factors that are in both the numerator and the denominator of the fraction. $=\dfrac{-24n^8}{-6n^3} + \dfrac{48n^5}{-6n^3}- \dfrac{78n^3}{-6n^3} \\=4n^{8-3}- 8n^{5-3}+13n^{3-3} \\=4n^5-8n^2+13n^0 \\=4n^5-8n^2+13(1) \\=4n^5-8n^2+13 $
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