Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.3 - Polynomials and Polynomial Functions - Exercise Set: 37

Answer

$3x^{2}-3xy+6y^{2}$

Work Step by Step

We are asked to add the polynomials $(x^{2}+xy-y^{2})$ and $(2x^{2}-4xy+7y^{2})$. This is equivalent to $(x^{2}+xy-y^{2})+(2x^{2}-4xy+7y^{2})$. We can combine like terms to add these polynomials together. $(x^{2}+2x^{2})+(xy-4xy)+(-y^{2}+7y^{2})=3x^{2}-3xy+6y^{2}$
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