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: 38

Answer

$2x^2-3xy+y^2$

Work Step by Step

Removing the grouping symbols and then combining like terms, the given expression, $ (2x^2-3xy+y^2)+(-4x^2-6xy-y^2)+(4x^2+6xy+y^2) ,$ simplifies to \begin{array}{l}\require{cancel} 2x^2-3xy+y^2-4x^2-6xy-y^2+4x^2+6xy+y^2 \\\\= (2x^2-4x^2+4x^2)+(-3xy-6xy+6xy)+(y^2-y^2+y^2) \\\\= 2x^2-3xy+y^2 .\end{array}
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