Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - 4.7 Polynomials in Several Variables - 4.7 Exercise Set: 33

Answer

$11x^2-10xy-y^2$

Work Step by Step

Removing the grouping symbols and then combining like terms, the given expression, $ (6x^2-2xy+y^2)+(5x^2-8xy-2y^2) ,$ simplifies to \begin{array}{l}\require{cancel} 6x^2-2xy+y^2+5x^2-8xy-2y^2 \\\\= (6x^2+5x^2)+(-2xy-8xy)+(y^2-2y^2) \\\\= 11x^2-10xy-y^2 .\end{array}
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