Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set - Page 289: 17



Work Step by Step

Using the Distributive Property, the given expression simplifies to \begin{align*} & [3m^2(5m)+3m^2(2)]+[2m(5m)+2m(2)]+[-1(5m)-1(2)] \\&= [15m^3+6m^2]+[10m^2+4m]+[-5m-2] \\&= 15m^3+(6m^2+10m^2)+(4m-5m)-2 \\&= 15m^3+16m^2-m-2 .\end{align*}
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