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How to prove If a, b, c are real numbers, then the maximum value of $ab+bc+ca$ subject to the condition that $a^2+b^2+c^2=1$ es $le1$?

How to prove If a, b, c are real numbers, then the maximum value of $ab+bc+ca$ subject to the condition that $a^2+b^2+c^2=1$ es $\le1$?

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