Question

Find the value of:

\[\frac{1}{1 + x^{(b-a)} +x^{(c-a)}} + \frac{1}{1+x^{(a-b)} +x^{(c-b)}} + \frac{1}{1+x^{(b-c)}+x^{(a-c)}}\]

Answer 1

why don't u tray
\[ \Large u=x^{(a-b)} \]
\[ \Large v=x^{(a-c)} \]
\[ \Large w=x^{(b-c)} \]

Answer 2

So, by this it becomes:

\[\frac{1}{1 + \frac{1}{u} +v} + \frac{1}{1+u +\frac{1}{w}} + \frac{1}{1+w+v} \]

Then what??