## Intermediate Algebra (12th Edition)

$4x^5-4x^4-24x^3$
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}