maths Maths Puzzle

Let a, b, and n be positive integers, with a not equal to b. Show that n divides an − bn implies n divides (an − bn)/(a − b).

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maths Other Question

Let a, b, n, and m be positive integers, with n > 1. Show that an + bn = 2m implies a = b. Find the area of the largest semicircle that can be inscribed in the unit square.