Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Chapter 4 Test - Page 320: 13

Answer

$6m^3-7m^2-30m+25$

Work Step by Step

Using the Distributive Property, the product of the given expression, $ (2m-5)(3m^2+4m-5) $ is \begin{array}{l}\require{cancel} 2m(3m^2)+2m(4m)+2m(-5)-5(3m^2)-5(4m)-5(-5) \\\\= 6m^3+8m^2-10m-15m^2-20m+25 \\\\= 6m^3+(8m^2-15m^2)+(-10m-20m)+25 \\\\= 6m^3-7m^2-30m+25 .\end{array}
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