Question

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

Answer 1

1/{1+x^(b-a) + x^(c-a)}  = 1st equation
1/1+x^b/x^a +x^c/x^a
LCM kr ke solve kr de na
1/(x^a+x^b+x^c)/x^a=x^a/(x^a+x^b+x^c) = second equation 
similarlay 1/1+x^(a-b) +x^(c-b) = x^b/(x^a+x^b+x^c) 
and again this pattern = x^c/(x^a+x^b+x^c) = third equation  
add all these three equation  we get 
x^a/(x^a+x^b+x^c )+ x^b/(x^a+x^b+x^c) + x^c/(x^a+x^b+x^c)   by taking LCM  we get 
(x^a+x^b+x^c)/(x^a+x^b+x^c) = 1