maths Maths Puzzle

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.

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maths Other Question

Let x be a real number. Which is greater, sin(cos x) or cos(sin x)? 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.)