Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - 4.5 Multiplication of Polynomials - 4.5 Exercise Set: 37

Answer

$4a^9-8a^7-\dfrac{5}{12}a^4$

Work Step by Step

Using $a(b+c)=ab+ac$ or the Distributive Property, the given expression, $ \dfrac{2}{3}a^4\left( 6a^5-12a^3-\dfrac{5}{8} \right) $, is equivalent to \begin{array}{l}\require{cancel} \dfrac{2}{3}a^4( 6a^5)+\dfrac{2}{3}a^4(-12a^3)+\dfrac{2}{3}a^4\left(-\dfrac{5}{8} \right) \\\\= 4a^9-8a^7-\dfrac{10}{24}a^4 \\\\= 4a^9-8a^7-\dfrac{5}{12}a^4 .\end{array}
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