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Question Number 150040 by bobhans last updated on 09/Aug/21

Let a, b, c be positive real numbers such

that a + b + c = 1 . Prove that

\frac{ab}{1 - c^{2}} + \frac{bc}{1 - a^{2}} + \frac{ca}{1 - b^{2}} ⩽ \frac{3}{8}