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If a+b+c=0,find the value of (1)/(x^(a) ...

If `a+b+c=0`,find the value of `(1)/(x^(a) + x^(-b) + 1)+(1)/(x^(b ) + x^(-c) + 1)+(1)/(x^(c) + x^(-a) + 1)`

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If a b c=0 , then find the value of {(x^a)^b}^c (a)1 (b) a (c)b (d) c

(1)/(1+x^(b-a)+x^(c-a))+(1)/(1+x^(a-b)+x^(c-b))+(1)/(1+x^(a-c)+x^(b-c))

(1)/(x^(b)+x^(-c)+1)+(1)/(x^(c)+x^(-a)+1)+(1)/(x^(a)+x^(-b)+1)

(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

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

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