(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that for all positive a,b

a+b <= a^2/b + b^2/a

3. The attempt at a solution

This simplifies to showing that

(a+b)(ab) <= a^3 + b^3

a^2b + b^2a <= a^3 + b^3

But I'm not really sure where to go from here... any hint would be appreciated.

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# Homework Help: Should be an easy proof

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