The past, present, and future

Algebra Level 4

Given that E=a3b3c33abca2+b2+c2+abbc+ac \mathscr{E} = \dfrac{a^3 -b^3 -c^3 - 3abc}{a^2 + b^2 + c^2 + ab - bc + ac}

and a=2015,b=2016,c=2017 a = 2015, b = 2016, c = 2017 . Find E \mathscr{E}.

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