College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Section R.3 - Polynomials - R.3 Exercises - Page 29: 54



Work Step by Step

Using the Distributive Property, the product of the given expression, $ (r-3s+t)(2r-s+t) ,$ is \begin{array}{l}\require{cancel} r(2r)+r(-s)+r(t)-3s(2r)-3s(-s)-3s(t)+t(2r)+t(-s)+t(t) \\\\= 2r^2-rs+rt-6rs+3s^2-3st+2rt-st+t^2 \\\\= 2r^2+3s^2+t^2+(-rs-6rs)+(rt+2rt)+(-3st-st) \\\\= 2r^2+3s^2+t^2-7rs+3rt-4st .\end{array}
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