What is the value of the expression

​$$\cos 2A \cos 2B + \sin^2 (A - B) - \sin^2 (A + B)$$​​

Given: 

To find: $$\cos 2A\cos2B+\sin^2(A-B)-sin^2(A+B)$$ 

Formula Used:  

​$$\cos (2A + 2B) = \cos2A \cos 2B -\sin2A \sin2B \\\sin^2(A - B) - \sin^2(A + B) = -\sin(2A)\sin(2B)$$ 

Thus, correct option is (c).

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