Use Mathematical induction to prove the following statements (a) For any integer n21, x - y...

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Use Mathematical induction to prove the following statements (a) For any integer n21, x" - y" is divisible by x- y, where x and y are any integers with x + y (b) n' -n is divisible by 6 for each integer n21. (c) 2"< (n+2)!, for all integers n2 0. Use Mathematical induction to prove the following statements (a) For any integer n21, x" - y" is divisible by x- y, where x and y are any integers with x + y (b) n' -n is divisible by 6 for each integer n21. (c) 2"< (n+2)!, for all integers n2 0.