Prove that: `1/(1+x^(a-b))+1/(1+x^(b-a))=1`

Explanation

To prove that:
\[ \frac{1}{1 + x^{a-b}} + \frac{1}{1 + x^{b-a}} = 1 \]

Let's follow these steps:

### Step 1: Rewrite the expression using a common base
First, note that \( x^{a-b} \) and \( x^{b-a} \) are reciprocals of each other. This is because:
\[ x^{b-a} = \frac{1}{x^{a-b}} \]
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