Question

abc = 1 show that
1/1+a+b^-1 + 1\1+b+c^-1 + 1/1+c+a^-1​

Answer 1

Answer:

1

Step-by-step explanation:

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

Answer 2

Answer:

Step-by-step explanation:

1/1+1/a+b+1/1+1/b+c+1/1+1/c+a

a+b/a+b+1 +b+c/b+c+1 +c+a/c+a+1

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

ab