Question

please help me with these questions!

Answer 1

I)
$\frac{1}{1 + {x}^{a - b} } + \frac{1}{1 + {x}^{b - a} } \\ = \frac{1 + {x}^{a - b} + 1 + {x}^{b - a} }{1 + {x}^{b - a} + {x}^{a - b} + {x}^{a - b + b - a} } \\ = \frac{2 + {x}^{a - b} + {x}^{b - a} }{1 + {x}^{a - b} + {x}^{b - a} + {x}^{0} } \: \: \: \: \: \: \: {x}^{0} = 1\\ = \frac{2 + {x}^{a - b} + {x}^{b - a} }{2 + {x}^{a - b} + {x}^{b - a}} \\ = 1$
by this way you can easily solve the second too.it is too long to do with equation editor.