Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Review: 102

Answer

$a+64$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To multiply the given expression, $ (\sqrt[3]{a}+4)(\sqrt[3]{a^2}-4\sqrt[3]{a}+16) ,$ use the concept on factoring the sum of $2$ cubes. $\bf{\text{Solution Details:}}$ Using the factoring of the sum of $2$ cubes which is given by $a^3+b^3=(a+b)(a^2-ab+b^2)$ the given expression is equivalent to \begin{array}{l}\require{cancel} (\sqrt[3]{a})^3+(4)^3 \\\\= a+64 .\end{array}
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