Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 5 - Section 5.5 - Multiplication of Polynomials - Exercise - Page 225: 24

Answer

$$-\frac{3}{8}rs^2+2rst.$$

Work Step by Step

By multiplying each term of the polynomial by the factor $-\frac{1}{8}rs$, and then adding the products, we have $$ -\frac{1}{8}rs(3s-16t)=-\frac{1}{8}rs(3s)-\frac{1}{8}rs(-16t)\\ =-\frac{3}{8}rs^2+2rst. $$
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