If the distance between the foci of a hyperbola is `16` and its eccentricity is `sqrt(2)` , then obtain its equation.

Explanation

To find the equation of the hyperbola given the distance between its foci and its eccentricity, we can follow these steps:

### Step 1: Understand the given information
The distance between the foci of a hyperbola is given as \(16\), and the eccentricity \(e\) is given as \(\sqrt{2}\).

### Step 2: Relate the distance between the foci to \(a\) and \(e\)
The distance between the foci of a hyperbola is given by the formula:
\[
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