Answer:
[tex]8x^3+28x^2-16x[/tex]
Step-by-step explanation:
Volume of rectangular prism: [tex]l*b*h[/tex] (l = length, b = breadth, h = height.)
Volume of rectangular prism:
[tex](x+4)*(2x-1)*4x[/tex]
[tex]4x\left(x+4\right)\left(2x-1\right)[/tex]
Expand the two brackets using FOIL:
[tex]4x(x* \:2x+x\left(-1\right)+4* \:2x+4\left(-1\right))[/tex]
[tex]4x\left(2x^2+7x-4\right)[/tex]
Expand:
[tex]4x* \:2x^2+4x* \:7x+4x\left(-4\right)[/tex]
[tex]8x^3+28x^2-16x[/tex]
