Answer
$a^3-5a^2+4a+5$.
Work Step by Step
The given polynomial is
$=(4a-a^3-3)+(2a^3-5a^2+8)$
Clear the parentheses.
$=4a-a^3-3+2a^3-5a^2+8$
Group like terms.
$=-a^3+2a^3-5a^2+4a+8-3$
Combine like terms.
$=a^3-5a^2+4a+5$.
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 7 - Polynomial Equations and Factoring - 7.1 - Adding and Subtracting Polynomials - Exercises - Page 362: 29
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