# Chapter 4 - Section 4.4 - Multiplying Polynomials - 4.4 Exercises: 14

$10r^5+15r^4+20r^3$

#### Work Step by Step

Using $a(b+c)=ab+ac$ or the Distributive Property, the product of the given expression, $5r^3(2r^2+3r+4) ,$ is \begin{array}{l}\require{cancel} 5r^3(2r^2)+5r^3(3r)+5r^3(4) \\\\= 10r^5+15r^4+20r^3 .\end{array}

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