Which is bigger?

Algebra Level 1

x=a+b+c,y=a3bc+b3ca+c3abx = a+b+c, \qquad y = \frac{a^3}{bc} + \frac{b^3}{ca} + \frac{c^3}{ab}

If a,b,ca,b,c are positive real numbers, which is bigger, xx or y?y?

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