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: 90

Answer

$m^3-7m^2p+13mp^2-15p^3$

Work Step by Step

Using the Distributive Property, the given expression, $ (m-5p)(m^2-2mp+3p^2) ,$ is equivalent to \begin{array}{l}\require{cancel} m(m^2)+m(-2mp)+m(3p^2)-5p(m^2)-5p(-2mp)-5p(3p^2) \\\\= m^3-2m^2p+3mp^2-5m^2p+10mp^2-15p^3 \\\\= m^3+(-2m^2p-5m^2p)+(3mp^2+10mp^2)-15p^3 \\\\= m^3-7m^2p+13mp^2-15p^3 .\end{array}
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