Question

Please friends solve this : -

If abc = 1, then 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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Wrong answer will be deleted
✪BRAINLY BENEFACTOR ✪

Answer 1

Hey!!

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given case, abc = 1

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

=> 1/(1+a+ac) + 1/(c + bc + 1)/c + 1/(a + ac + 1)/a , (as abc = 1, hence ac = 1/b)

=> 1/(1+a+ac) + c/(1+c+bc) + a/(1+a+ac) ,

=>(1+a)/(1+a+ac) + ac/(a + ac + abc) , (multiplying and dividing ‘a’ to the second term.

=> (1 + a)/(1+a+ac) + ac/(1+a+ac);

=> (1+a+ac)/(1+a+ac)

=> 1

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I Hope It's Help You.....!!!!!

please tick the brainliest answer.

Answer 2

Answer:

1 will be the answer

Step-by-step explanation:

it took too much time to solve me