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Step-by-step explanation:
let a-b = p
then b-a = -p
so, putting it in the equation
1/(1+ x^p) + 1/(1+ x^-p)
= (1+x^-p + 1+ x^p)/ (1+x^p)(1+x^-p)
=(2+x^p+x^-p)/(2+x^p+x^-p) .[As x^p.x^-p = 1]
= 1
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