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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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`(tan^(2)2theta-tan^(2)theta)/(1-tan^(2)2thetatan^(2)theta)=((tan2theta-tantheta)/(1+tan 2theta tan theta))((tan 2 theta+tan theta)/(1-tan 2thetatan theta))`
`=tan(2theta-theta)tan(2theta+theta)`
`=tan 3theta tan theta`
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