## Intermediate Algebra (12th Edition)

Published by Pearson

# Chapter 4 - Section 4.4 - Multiplying Polynomials - 4.4 Exercises - Page 304: 17

#### Answer

$m^3-3m^2-40m$

#### Work Step by Step

Using the Distributive Property, the product of the given expression, $m(m+5)(m-8) ,$ is \begin{array}{l}\require{cancel} [m(m)+m(5)](m-8) \\\\= [m^2+5m](m-8) \\\\= m^2(m)+m^2(-8)+5m(m)+5m(-8) \\\\= m^3-8m^2+5m^2-40m \\\\= m^3-3m^2-40m .\end{array}

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