If a+b+c =0, Prove that1/1+x^a+x^-b+1/1+x^b+x^-c+1/1+x^c+x^-a=1 || Indices class 9 simplify

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Prove that: `1/(1+x^(b-a)+\ x^(c-a))+1/(1+x^(a-b)+\ x^(c-b))+1/(1+x^(b-c)+x^(a-c))=1` Prove that: `1/(1+x^(b-a)+\ x^(c-a))+1/(1+x^(a-b)+\ x^(c-b))+1/(1+x^(b-c)+x^(a-c))=1`