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Prove that (tan^(2)2theta-tan^(2)theta)/...

Prove that `(tan^(2)2theta-tan^(2)theta)/(1-tan^(2)2thetatan^(2)theta)=tan 3 theta tan theta`.

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To prove the identity \[ \frac{\tan^2 2\theta - \tan^2 \theta}{1 - \tan^2 2\theta \tan^2 \theta} = \tan 3\theta \tan \theta, \] we will start by simplifying the left-hand side (LHS). ...
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