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


Options:
A .  0
B .  1
C .  `x^(a - b -c)`
D .  None of these.
Answer: Option B

Given Exp. =   `(1)/((1 + x^b/x^a +x^c/x^a))`  +` (1)/((1 + x^a/x^b + x^c/x^b)) ` +` (1)/((1 +  x^b/x^c  +  x^a/x^c))`

= `(x^a)/((x^a + x^b + x^c))` +` (x^b)/((x^a + x^b + x^c))` +` (x^c)/((x^a + x^b + x^c))`

=`((x^a + x^b + x^c))/((x^a + x^b + x^c))` =  1.




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