Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 6.3 National olympiad Prove it

Example 1.5.3. Suppose that $a, b, c$ are the side lengths of a triangle. Prove that
$F\left(a^{2}, b^{2}, c^{2}\right) \leq 36 F(a b, b c, c a) \text{. }$

Solution

None

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