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: 32

Answer

$-6s^2t-6r^2t+4st^2$

Work Step by Step

By combining like terms, the given expression, $ 3s^2t+r^2t-9ts^2-st^2+5t^2s-7tr^2 ,$ simplifies to \begin{array}{l}\require{cancel} 3s^2t+r^2t-9s^2t-st^2+5st^2-7r^2t \\\\= (3s^2t-9s^2t)+(r^2t-7r^2t)+(-st^2+5st^2) \\\\= -6s^2t-6r^2t+4st^2 .\end{array}
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