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: 47

Answer

$-3a^3+12a^2+a+1$

Work Step by Step

Removing the grouping symbols, then the given expression, $ (3+5a+3a^2-a^3)-(2+4a-9a^2+2a^3) $, is equivalent to \begin{array}{l} 3+5a+3a^2-a^3-2-4a+9a^2-2a^3 .\end{array} By combining like terms, then \begin{array}{l} (-a^3-2a^3)+(3a^2+9a^2)+(5a-4a)+(3-2) \\\\= -3a^3+12a^2+a+1 .\end{array}
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