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: 27

Answer

$-2a^4+3a^3-a-7$

Work Step by Step

Removing the grouping symbols and then combining like terms, the given expression, $ (5a^4+3a^3-a^2-2a-1)-(7a^4-a^2-a+6) ,$ simplifies to \begin{array}{l} 5a^4+3a^3-a^2-2a-1-7a^4+a^2+a-6 \\\\= (5a^4-7a^4)+3a^3+(-a^2+a^2)+(-2a+a)+(-1-6) \\\\= -2a^4+3a^3+0a^2-a-7 \\\\= -2a^4+3a^3-a-7 .\end{array}
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