Question

Prove ( a^2÷bc) + ( b^2 ÷ ca ) + ( c^2 ÷ ab ) = 3

Answer 1

hi buddy
first of all the condition of this proof must be
a+b+c=0
Here is your answer..
In L.H.S
$= \frac{ {a}^{2} }{ bc} + \frac{ {b}^{2} }{ca} + \frac{ {c}^{2} }{ab} \\ = \frac{ {a}^{3} + {b}^{3} + {c}^{3} }{abc} \\ = 3 \: \\ \\ \\ since \: {a}^{3} + {b}^{3} + {c}^{3} = 3abc$
L.H.S = R.H.S