Question

OPEN THE PIC AND ANSWER I WILL MARK BRAINLIST

Answer 1

Step-by-step explanation:

We have,

$\rm \: a + b + c = 0$

$\implies \rm \: a + b = - c \: \: \: \: ...(i)$

$\implies \rm \: (a + b )^{3} = (- c)^{3}$

$\implies \rm \: (a) ^{3} + (b )^{3} + 3ab(a + b ) = - (c)^{3}$

From (i), we get,

$\implies \rm \: (a) ^{3} + (b )^{3} + 3ab( - c ) = - (c)^{3}$

$\implies \rm \: (a) ^{3} + (b )^{3} - 3abc = - (c)^{3}$

$\implies \rm \: a ^{3} + b ^{3} + c^{3} = 3abc$

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

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