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Which is bigger?

Algebra Level 1

$x = a+b+c, \qquad y = \frac{a^3}{bc} + \frac{b^3}{ca} + \frac{c^3}{ab}$

If $a,b,c$ are positive real numbers, which is bigger, $x$ or $y?$

x \ge y

always

y \ge x

always They are always equal It depends on

a,b,c

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by Patrick Corn

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