What is the value of the expression $$\cos 2A \cos 2B + \sin^2 (A - B) - \sin^2 (A + B)$$?

A

$$\sin(2A - 2B)$$

B

$$\cos(2A + 2B)$$

C

$$\cos(2A - 2B)$$

D

$$\sin(2A + 2B)$$