Answer
The solution is $8x^3-22x^2+11x+6$.
Work Step by Step
The given equation is
$=(2x-3)(4x^2-5x-2)$
Use the distributive property.
$=2x\cdot 4x^2-2x\cdot 5x-2x\cdot 2 -3\cdot 4x^2+3\cdot 5x +3\cdot 2$
Simplify.
$=8x^3-10x^2-4x -12x^2+15x +6$
$=8x^3-22x^2+11x+6$.