Let's simplify each expression separately:

(√12 - √3)^2
= (√12 - √3)(√12 - √3)
= 12 - 2√12√3 + 3
= 15 - 2√36
= 15 - 12
= 3

(√12 + √3)^2
= (√12 + √3)(√12 + √3)
= 12 + 2√12√3 + 3
= 15 + 2√36
= 15 + 12
= 27

Now, let's multiply the two simplified expressions together:

(√12 - √3)^2 (√12 + √3)^2
= 3 27
= 81

Therefore, (√12 - √3)^2 * (√12 + √3)^2 = 81.