Question 8
Numbers a,b,c satisfy $\frac{a^3}{a^2+ab+b^2}+\frac{b^3}{b^2+bc+c^2}+\frac{c^3}{c^2+ca+a^2}=2014$. Find $\frac{a^3}{c^2+ac+c^2}+\frac{b^3}{a^2+ab+b^2}+\frac{c^3}{b^2+bc+c^2}$.
Original printed choices: A) $2014^3$; B) $2014^2$; C) 2014; D) 6042; E) Another value
Editorial task: Solve the literal problem, identify any missing condition, and distinguish the intended interpretation.
Original printed choices: A) $2014^3$; B) $2014^2$; C) 2014; D) 6042; E) Another value
Editorial task: Solve the literal problem, identify any missing condition, and distinguish the intended interpretation.