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ISL 1970 Problem 44

    If a,b,ca, b, c are side lengths of a triangle, prove that (a+b)(b+c)(c+a)≥8(a+b−c)(b+c−a)(c+a−b).(a + b)(b + c)(c + a) \geq 8(a + b - c)(b + c - a)(c + a - b).

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