Question

Sm1 pls simplify question 17

Answer 1

Answer:

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

$\frac{1}{1 + \frac{ {x}^{b} }{ {x}^{a} } + \frac{ {x}^{c} }{ {x}^{a} } } + \frac{1}{1 + \frac{ {x}^{a } }{ {x}^{b} } + \frac{ {x}^{c} }{ {x}^{b} } } + \frac{1}{1 + \frac{ {x}^{a} }{ {x}^{c} } + \frac{ {x}^{b} }{ {x}^{c} } }$

$\frac{ {x}^{a} }{1 + {x}^{b} + {x}^{c} } + \frac{ {x}^{b} }{1 + {x}^{a} + {x}^{c} } + \frac{ {x}^{c} }{1 + {x}^{a} + {x}^{b} }$

$\frac{2 {x}^{a} + 2 {x}^{b} + 2 {x}^{c} }{1 + {x}^{a} + {x}^{b} + {x}^{c} }$

$\frac{2( {x}^{a} + {x}^{b} + {x}^{c}) }{1 + {x}^{a} + {x}^{b} + {x}^{c} }$

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