Intermediate Algebra (12th Edition)

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

Chapter 4 - Review Exercises - Page 318: 58

Answer

$10p^4+30p^3-8p^2-24p$

Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method, the product of the given expression, $ (2p^2+6p)(5p^2-4) ,$ is \begin{array}{l}\require{cancel} 2p^2(5p^2)+2p^2(-4)+6p(5p^2)+6p(-4) \\\\= 10p^4-8p^2+30p^3-24p \\\\= 10p^4+30p^3-8p^2-24p .\end{array}
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