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 - 4.4 Addition and Subtraction of Polynomials - 4.4 Exercise Set - Page 260: 43

Answer

$8a^3+8a^2+a-4$

Work Step by Step

Removing the grouping symbols, then the given expression, $ (4a^2+a-7)-(3-8a^3-4a^2) $, is equivalent to \begin{array}{l} 4a^2+a-7+3+8a^3+4a^2 .\end{array} By combining like terms, then \begin{array}{l} 8a^3+(4a^2+4a^2)+a+(-7+3) \\\\= 8a^3+8a^2+a-4 .\end{array}
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