If \frac{1}{x} = \frac{1}{p} + \frac{1}{q}, then what is \frac{pq}{p^2 - q^2}\left(\frac{x + p}{x - p} - \frac{x + q}{x - q}\right) equal to ?

Explanation

Solving for x gives x = \frac{pq}{p+q}. Substituting this into the terms \frac{x+p}{x-p} and \frac{x+q}{x-q} and simplifying the entire expression yields 2.

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