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: 8

Answer

$n^4-4n^3+8n-32$

Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of $2$ binomials, the given expression, $ (n^3+8)(n-4) $, is equivalent to \begin{array}{l}\require{cancel} n^3(n)+n^3(-4)+8(n)+8(-4) \\\\= n^4-4n^3+8n-32 .\end{array}
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