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Prove that:cot theta cot2 theta + cot2 ...

Prove that:`cot theta cot2 theta + cot2 theta cot 3 theta + 2 = cot theta(cot theta - cot3 theta)`

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The correct Answer is:
`= cot^(2) theta-cot theta cot 3 theta= cot theta ( cot theta-cot 3 theta)`
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