maths Maths Puzzle

how that, for each n greater than or equal to 3, n! can be represented as the sum of n distinct divisors of itself. (For example, 3! = 1 + 2 + 3.)

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maths Other Question

Let a, b, and c be positive real numbers such that abc = 1. Show that a2 + b2 + c2 less than or equal to a3 + b3 + c3. A triangle has two acute angles, A and B. Show that the triangle is right-angled if, and only if, sin2A + sin2B = sin(A + B).