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

$12n^4-16n^3-20n^2+40n$
Using $a(b+c)=ab+ac$ or the Distributive Property, the given expression, $4n(3n^3-4n^2-5n+10)$, is equivalent to \begin{array}{l}\require{cancel} 4n(3n^3)+4n(-4n^2)+4n(-5n)+4n(10) \\\\= 12n^4-16n^3-20n^2+40n .\end{array}