(See Solution) Prove that cos ^2(α +β)- cos ^2(α -β)=-4 sin α sin β cos α cos


Question: Prove that

\[{{\cos }^{2}}\left( \alpha +\beta \right)-{{\cos }^{2}}\left( \alpha -\beta \right)=-4\sin \alpha \sin \beta \cos \alpha \cos \beta \]

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