Answer
$-2x^2+3xy+8y^2$.
Work Step by Step
The given polynomial is
$=(-x^2+9xy)-(x^2+6xy-8y^2)$
Clear the parentheses.
$=-x^2+9xy-x^2-6xy+8y^2$
Group like terms.
$=-x^2-x^2+9xy-6xy+8y^2$
Combine like terms.
$=-2x^2+3xy+8y^2$.
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: 46
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