Question

a, b, c are all non zero and a + b + c = 0, prove that asquare/bc + bsquare/ca +csquare /ab =3​

Answer 1

Answer:

Step-by-step explanation:

3

Answer 2

EXPLANATION:-

$\frac{ {a}^{2} }{bc} + \frac{ {b}^{2} }{ca} + \frac{ {c}^{2} }{ab} = 3$

L.H.S

$\frac{ {a}^{2} }{bc} + \frac{ {b}^{2} }{ca} + \frac{ {c}^{2} }{ab}$

on,taking L.C.M

$= \frac{ {a}^{3} + {b}^{3} + {c}^{3} }{abc}$

$= \frac{3abc}{abc}$

[we know if a+b+c=0, then

${a}^{3} + {b}^{3} + {c}^{3} = 3abc$

$= 3$