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: 36

Answer

$64a^6+48a^3+9$

Work Step by Step

Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, the product of the given expression, $ (8a^3+3)^2 ,$ is \begin{array}{l}\require{cancel} (8a^3)^2+2(8a^3)\left( 3 \right)+\left( 3 \right)^2 \\\\= 64a^6+48a^3+9 .\end{array}
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