# NMTC 2015

Algebra Level 2

$\large{\dfrac { a\sqrt { a } +b\sqrt { b } }{ (\sqrt { a } +\sqrt { b } ) (a-b) } + \dfrac { 2\sqrt { b } }{ \sqrt { a } +\sqrt { b } } -\dfrac { \sqrt { ab } }{ a-b }}$

If $a=2015$ and $b=2016$, find the value of the expression above.

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