Past, present, and future again

Algebra Level 3

Given

E(a,b,c)=a(b3c3)+b(c3a3)+c(a3b3), \mathscr{E}(a, b, c) = a\big(b^3 - c^3 \big) + b\big(c^3 - a^3\big) + c\big(a^3 - b^3 \big),

find the value of

E(2014,2016,2018)(20142016)(2014+2016+2018). \dfrac{\mathscr{E} (2014, 2016, 2018)}{(2014 - 2016) (2014+2016+2018)}.

×

Problem Loading...

Note Loading...

Set Loading...