## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$15t^5-6t^4+12t^3$
Using the Distributive Property, the product of the given expression, $3t^2(5t^3-2t^2+4t) ,$ is \begin{array}{l}\require{cancel} 3t^2(5t^3)-3t^2(2t^2)+3t^2(4t) \\\\= 15t^5-6t^4+12t^3 .\end{array}