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

$n^4-4n^3+8n-32$
Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of $2$ binomials, the given expression, $(n^3+8)(n-4)$, is equivalent to \begin{array}{l}\require{cancel} n^3(n)+n^3(-4)+8(n)+8(-4) \\\\= n^4-4n^3+8n-32 .\end{array}