- #1
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Homework Statement
Show that for all positive a,b
a+b <= a^2/b + b^2/a
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.