Question: Prove the binomial theorem: for any real numbers x, y and nonnegative integer n 71 (x + y) = () x^y^+ k=0 Use this

Prove the binomial theorem: for any real numbers x, y and nonnegative

Prove the binomial theorem: for any real numbers x, y and nonnegative integer n 71 (x + y) = (") x^y^+ k=0 Use this to show the corollary that 2" = E-o(). Use this fact to show that a set consisting of n elements have 2" subsets in total. (Comment: the equation above is called binomial formula. This is why () is called binomial coefficient.)

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