5. Let i, n be integers such that 1sisn. Show that ()+() - ("* 1) Provide some numerical examples to demonstrate that you understand what this identity is saying. 6. Prove the binomial theorem using mathematical induction (x+y)" = (27 Before diving into the proof, make sure to convince yourself that this statement is true for different values of n. Note that the identity of the previous problem may be useful for this proof