Question

prove that 1 / 1 + x power m + 1 / 1 + x power - m = 1 ? plss answer soon frnds ​

Answer 1

Answer:

$(\frac{1}{1 } + {x}^{m}) + ( \frac{1}{1} + {x}^{ - m} ) \\ = 2 + {x}^{m} + {x}^{ - m} \\ using \: identity \: {a}^{n} + {a}^{m} = {a}^{n + m} \\ = 2 + {x}^{ (- m + m)} = 2 + {x}^{0} \\ we \: know \: {a}^{0} = 1 \\ 2 + 1 = 3$