Answer
$-2y^2+2y+18$.
Work Step by Step
The given polynomial is
$=(y^2-4y+9)-(3y^2-6y-9)$
Clear the parentheses.
$=y^2-4y+9-3y^2+6y+9$
Group like terms.
$=y^2-3y^2-4y+6y+9+9$
Combine like terms.
$=-2y^2+2y+18$.
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: 33
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