Question

if abc = 1,prove that:
1/(1+a+b^-1) + 1/(1+b+c^-1) + 1/(1+c+a^-1) =1​

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) =1

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

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

=1

HENCE PROVED