Simplify the following expression. $32^3 - 3(32^2)(12) + 3(32)(12^3)- 12^3$

8000 4000 16000 800

8000

We know that, (a - b)3 = a3 - b3 - 3ab(a-b) $32^3 - 3(32^2)(12) + 3(32)(12^3)- 12^3$ By comparing this given equation with the formula we get the cubic expression given below, (32 - 12)3 = $32^3 - 3(32^2)(12) + 3(32)(12^3)- 12^3$ a = 32 b = 12 (32 - 12)3 = (20)3 = 8000