Question

Show that (1/1+x^a-b) +(1/1+x^b-a) =1

Answer 1

Answer:

$\frac{1}{1 + {x}^{a - b}} + \frac{1}{ 1 + {x}^{b - a} } = >$

$\frac{ (1 + {x}^{b - a} ) + (1 + {x}^{a - b})}{(1 + {x}^{b - a} )(1 + {x}^{a - b})} = >$

$\frac{2 + {x}^{a - b} + {x}^{b - a} }{1 + {x}^{b - a} + {x}^{a - b} + {x}^{a - b}. {x}^{b - a} } = >$

$\frac{2 + {x}^{a - b} + {x}^{b - a} }{2 + {x}^{a - b} + {x}^{b - a} } = > 1$

Hence Showed . Hope it helps you.