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: 48

Answer

$-3t^3-t^2-t+6$

Work Step by Step

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