Simplify the following expression.
$32^3 - 3(32^2)(12) + 3(32)(12^3)- 12^3$
Answer & explanation
Correct answer: option 1
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