If a + b + c = 0, then the value of $$\frac{{{a^2}}}{{bc}} + \frac{{{b^2}}}{{ca}} + \frac{{{c^2}}}{{ab}}$$   is:

Solution (By Examveda Team)

$$\eqalign{ & {\text{If }}a + b + c = 0, \cr & {\text{then }} \Rightarrow {a^3} + {b^3} + {c^3} = 3abc \cr & = \frac{{{a^2}}}{{bc}} + \frac{{{b^2}}}{{ca}} + \frac{{{c^2}}}{{ab}} \cr & = \frac{{{a^3} + {b^3} + {c^3}}}{{abc}} \cr & = \frac{{3abc}}{{abc}} \cr & = 3 \cr} $$