Simplify the following expression.

$32^3 - 3(32^2)(12) + 3(32)(12^3)- 12^3$

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