Answer
$4x^5-4x^4-24x^3$
Work Step by Step
Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method, the product of the binomials in the given expression, $
4x^3(x-3)(x+2)
,$ is
\begin{array}{l}\require{cancel}
4x^3[x(x)+x(2)-3(x)-3(2)]
\\\\=
4x^3[x^2+2x-3x-6]
\\\\=
4x^3[x^2-x-6]
.\end{array}
Using $a(b+c)=ab+ac$ or the Distributive Property, the product of the expression above is
\begin{array}{l}\require{cancel}
4x^3(x^2)+4x^3(-x)+4x^3(-6)
\\\\=
4x^5-4x^4-24x^3
.\end{array}
