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: 37

Answer

$-6r^2-5rt-t^2$

Work Step by Step

Removing the grouping symbols and then combining like terms, the given expression, $ (5r^2-4rt+t^2)+(-6r^2-5rt-t^2)+(-5r^2+4rt-t^2) ,$ simplifies to \begin{array}{l}\require{cancel} 5r^2-4rt+t^2-6r^2-5rt-t^2-5r^2+4rt-t^2 \\\\= (5r^2-6r^2-5r^2)+(-4rt-5rt+4rt)+(t^2-t^2-t^2) \\\\= -6r^2-5rt-t^2 .\end{array}
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