If abc = 1, show that


If abc = 1, show that



To prove,


Left hand side (LHS) = Right hand side (RHS) Considering LHS,


$=\frac{b}{b+a b+1}+\frac{c}{c+b c+1}+\frac{a}{a+a c+1} \ldots .$(1)

We know abc = 1

c = 1/ab

By substituting the value c in equation (1), we get


$=\frac{b}{b+a b+1}+\frac{1}{1+b+a b}+\frac{a b}{1+a b+b}$

$=\frac{1+a b+b}{b+a b+1}$


Therefore, LHS = RHS Hence provedĀ 

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