Question

give answer with explanation . if abc=1 show that
$\frac{1}{1 + a + {b}^{ - 1} } + \frac{1}{1 + b + {c}^{ - 1} } + \frac{1}{1 + c + {a}^{ - 1} } = 1$
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Answer 1

Answer:

abc=1

⟹c=1/ab

1/(1+a+1/b)+1/(1+b+1/c)+1/(1+c+1/a)

=1/(1+a+1/b)+1/(1+b+ab)+1/(1+1/ab+1/a)

=b/(1+b+ab)+1/(1+b+ab)+ab/(1+b+ab)

=1+b+ab/(1+b+ab)

=1

Step-by-step explanation:

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