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

a. Use mathematical induction to prove that for any positive integer ?, 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.

Solutions

Expert Solution

if you stuck somewhere in the proof you can comment i will explain you their

Colby Messinger answered 1 year ago

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