Question

answer this question urgent!!!!!

Answer 1

Hello Mate!

If abc = 1, the ab = 1/c and c = 1/ab

$\frac{1}{1 + a + {b}^{ - 1} } + \frac{1}{1 + b + {c}^{ - 1} }+ \frac{1}{1 + c + {a}^{ - 1} } = 1$
$lhs = \frac{1}{1 + a + \frac{1}{b} } + \frac{1}{1 + b + \frac{1}{c} } + \frac{1}{1 + c + \frac{1}{a} }$
$\frac{1}{ \frac{b + ab + 1}{b} } + \frac{1}{1 + b + ab} + \frac{1}{ \frac{ab + 1 + b}{ab} }$
$\frac{b}{b + ab + 1} + \frac{1}{1 +b + ab} + \frac{ab}{ab + 1 + b}$
$\frac{b + 1 + ab}{b + 1 + ab} = 1 = rhs$

Hope you got it!

@Shuchi111