Question

simplify 1 by 1+x power -n + 1 by 1 +x power n​

Answer 1

Step-by-step explanation:

I'm assuming you mean

$\frac{1}{1 + {x}^{ - n} } + \frac{1}{1 + {x}^{n} }$

$= \frac{(1 + {x}^{n} ) + (1 + {x}^{ - n} ) }{(1 + {x}^{n} )(1 + {x}^{ - n}) } \: \:$

(taking LCM of denominators)

$= \frac{2 + {x}^{n} + {x}^{ - n} }{2 + {x}^{n} + {x}^{ - n} }$

(combining the like terms in numerator and applying distributive property in denominator)

$= 1$

(both the numerator and denominator are the same, so their quotient gives you 1)

Hope this helps!