# Chapter 5 - Exponents and Polynomials - 5.2 - Multiplying Monomials - Problem Set 5.2: 54

$6x^3-3x^2+15x$

#### Work Step by Step

Using $a(b+c)=ab+ac$ (or the Distributive Property), the given expression, $3x(2x^2-x+5) ,$ is equivalent to \begin{array}{l}\require{cancel} 3x(2x^2)+3x(-x)+3x(5) \\\\= 6x^3-3x^2+15x .\end{array}

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