Answer
$-3a^2+2ab+b^2$.
Work Step by Step
The given polynomial is
$=(a^2-3ab+2b^2)+(-4a^2+5ab-b^2)$
Clear the parentheses.
$=a^2-3ab+2b^2-4a^2+5ab-b^2$
Group like terms.
$=a^2-4a^2-3ab+5ab+2b^2-b^2$
Combine like terms.
$=-3a^2+2ab+b^2$.
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 363: 44
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