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 - Test: Chapter 4: 33

Answer

$x^{14}-4x^8+4x^6-16$

Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of 2 binomials, the product of the given expression, $ (x^6-4)(x^8+4) ,$ is \begin{array}{l}\require{cancel} x^6(x^8)+x^6(4)-4(x^8)-4(4) \\\\= x^{14}+4x^6-4x^8-16 \\\\= x^{14}-4x^8+4x^6-16 .\end{array}
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