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 - 4.6 Special Products - 4.6 Exercise Set: 79

Answer

$18a^4+0.8a^3+4.5a+0.2$

Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of $2$ binomials, the given expression, $ (9a+0.4)(2a^3+0.5) $, is equivalent to \begin{array}{l}\require{cancel} 9a(2a^3)+9a(0.5)+0.4(2a^3)+0.4(0.5) \\\\= 18a^4+4.5a+0.8a^3+0.2 \\\\= 18a^4+0.8a^3+4.5a+0.2 .\end{array}
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