2. (30 points) Express f(n) = (n log n+n)(n + 2) in terms of O-notation such as f(n) = (g(n)). (10 points) Prove that f(n) = (g(n)). (g(n)) = {f(n): there exist positive constants C1, C2, and no such that 0 s cig(n) = f(n) s C2g(n) for all n 2 no}. (20 points) You must show and explain your work. Simply stating the answers or not using the method(s) specified in the question will result in 0 points awarded