Question

How do you prove the identity `(1/(1+x))^(a-b) + (1/(1+x))^(b-a) = 1` ?

Answer 1

The given identity is generally false.

Explanation:

The identity:

`(1/(1+x))^(a-b) + (1/(1+x))^(b-a) = 1`

is generally false.

For example, if `a=b` then:

`(1/(1+x))^(a-b) + (1/(1+x))^(b-a) = (1/(1+x))^0 + (1/(1+x))^0 = 1+1 = 2 != 1`