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  3. a. use mathematical induction to prove that for an

a. Use mathematical induction to prove that for any positive integer ?, 3 divide ?^3 +...

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Question

Advance Math

a. Use mathematical induction to prove that for any positiveinteger ?, 3 divide ?^3 + 2?
(leaving no remainder).
Hint: you may want to use the formula: (? + ?)^3= ?^3 + 3?^2 * b +3??^2 + ?^3.
b. Use strong induction to prove that any positive integer ? (? ?2) can be written as a
product of primes.

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