DISCOVER: Differences of Even Powers (a) Factor the expressions completely: A* - Bº and A“ – B“. (b) Verify that 18,335 = 12 – 7° and that 2,868,335 = 12 – 7°. (c) Use the results of parts (a) and (b) to factor the integers 18,335 and 2,868,335. Then show that in both of these factorizations, all the factors are prime numbers.

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