URGENT please.

For two random variables X and Y with PMF's p(x) and p(y), respectively, a function is defined as f(X, Y) = D (p(x,y) || p(x) p(y)), where D(..) is the Kullback-Leibler distance. Starting from this definition of f(X, Y), prove in mathematical detail that: f(X, Y) = H(X) - H(XY) (10 points) . f(X, Y) = H(X) + H(Y) -H(X, Y) (5 points) What will f(X, Y) actually represent as a relation between X and Y? (5 points)