Question

Please solve this question i will definitely mark you as brainliest

Answer 1

Hey friend, Harish here.

Here is your answer.

$\frac{1}{1 + a^{n-m}} + \frac{1}{1+a^{m-n}}$

⇒ $\frac{1}{1+ \frac{a^n}{a^m} } + \frac{1}{1+ \frac{a^m}{a^n} }$

⇒ $\frac{1}{ \frac{a^m + a^n}{a^m} } + \frac{1}{ \frac{a^n + a^m}{a^n} }$

⇒ $\frac{a^m}{a^m + a^n} + \frac{a^n}{a^m + a^n}$

⇒ $\frac{(a^m + a^n)}{(a^m + a^n)} = 1$
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Hope my answer is helpful to you.