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Answer:
1/(1+x^(a-b))+ 1/(1+x^(b-a))
= 1/(1+x^(a-b)) + 1/(1+x^-(a-b))
=1/(1+x^(a-b)) + (x^(a-b))/(1+x^(a-b))
=(1+x^(a-b))/(1+x^(a-b))
=1
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Sol:- let 1/1+x^a-b + 1/1+x^b-a
1/1+x^a-b + 1/1+x^-(a-b)
1/1+x^a/x^b + 1/1 x^b/x^a
x^b + x^a/ x^a + x^b=1
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