-  Putting x = 2, we get 22 (22 - 1) = 12. So, x2(x2 - 1) is always divisible by 12.

The given expression is x2 (x2 - 1). Since x is a whole number, we can assume it to be a positive integer.

We can factorise the expression in the following way:

x2 (x2 - 1) = (x2 - 1) (x2 + 1)

Now, we can use the identity (a - b) (a + b) = a2 - b2

Substituting a = x2 and b = 1 in the identity, we get

x2 (x2 - 1) = x2 - 1

Now, we can use the divisibility rule for 12 which states that a number is divisible by 12 if it is divisible by both 3 and 4.

Since x2 is a multiple of 4 (4 divides x2) and 1 is a multiple of 3 (3 divides 1), we can conclude that the expression x2 (x2 - 1) is divisible by 12.

Hence, the correct answer is Option A. 12.

Definitions and Formulas
Divisibility Rule for 12 : A number is divisible by 12 if it is divisible by both 3 and 4.
Identity : (a - b) (a + b) = a2 - b2

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