NMTC 2015

Algebra Level 2

aa+bb(a+b)(ab)+2ba+babab\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=2015a=2015 and b=2016b=2016, find the value of the expression above.

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