If tan (A+B)=p, tan(A-B)=q find tan 2A.

Explanation

To solve the problem, we need to find \( \tan 2A \) given that \( \tan (A+B) = p \) and \( \tan (A-B) = q \).

### Step-by-Step Solution:

1. **Recall the formula for tangent of sum and difference:**
\[ \tan(A+B) = \frac{\tan A + \tan B}{1 - \tan A \tan B} \]
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