Question

prove it with formula ​

Answer 1

Answer:-

$\red{\underline{Question:-}}$

Prove that $\frac{1}{1+x^m^-^n} + \frac{1}{1+x^n^-^m} =1$

$\red{\underline{Solution:-}}$

L.H.S

$1/[1-x^(^m^-^n^)] + 1/[1-x^(^n^-^m^)],$

,$x^n/(x^n - x^m) + x^m/(x^m - x^n),$

x^n/(x^n - x^m) - x^m/(x^n - x^m),

now take the LCM here, we get

(x^n - x^m)/(x^n - x^m),

1

hence

L.H.S=R.H.S