Intermediate Algebra (12th Edition)

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

Chapter 4 - Section 4.4 - Multiplying Polynomials - 4.4 Exercises - Page 304: 24

Answer

$10m^2+24m-18$

Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method, the product of the binomials in the given expression, $ (2m+6)(5m-3) ,$ is \begin{array}{l}\require{cancel} 2m(5m)+2m(-3)+6(5m)+6(-3) \\\\= 10m^2-6m+30m-18 \\\\= 10m^2+24m-18 .\end{array}
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