Question

Prove that {1/(1+x^a-b)}+{1/(1+x^b-a)}=1

Answer 1

Answer:

Step-by-step explanation:

1/{1+x^(a-b)} + 1/{1+x^(b-a)} = 1

L.H.S.

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

=x^b/(x^b+x^a) + x^a/(x^a+x^b)

=(x^b+x^a)/(x^a+x^b)

=1 , proved.