Show 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`

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Prove that 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'
Simplify 1/(1 + x^a-b + x^c-b) + 1/(1 + x^b-c + x^a-c) + 1/(1 + x^c-a + x^b-a) Simplify 1/(1 + x^a-b + x^c-b) + 1/(1 + x^b-c + x^a-c) + 1/(1 + x^c-a + x^b-a)