Prove the binomial theorem: for any real numbers x, y and nonnegative integer n 71 (x...

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Prove the binomial theorem: for any real numbers x, y and nonnegative integer n 71 (x + y)² = Σ (") x^²y^²+² 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.) Prove the binomial theorem: for any real numbers x, y and nonnegative integer n 71 (x + y)² = Σ (") x^²y^²+² 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.)