Find th equation of the hyperbola eccentricity is 2 and the distance between foci 16.

Explanation

To find the equation of the hyperbola with an eccentricity of 2 and a distance between the foci of 16, we can follow these steps:

### Step 1: Understand the properties of the hyperbola
The standard form of a hyperbola centered at the origin is given by:
\[ \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 \]
where \(a\) is the distance from the center to the vertices, \(b\) is the distance related to the conjugate axis, and \(c\) is the distance from the center to the foci. The relationship between these values is given by:
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