Question

please factorise it
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Answer 1

Answer:

$( \cot( \alpha ) + 2 \sec( \alpha ) ) \times (2 \cot( \alpha ) - \sec( \alpha ) )$

Step-by-step explanation:

$2cot^{2} \alpha - \cot( \alpha ) \sec( \alpha ) + 4\cot( \alpha ) \sec( \alpha) \ - 2 \sec ^{2} ( \alpha )$

$\cot( \alpha ) (2 \cot( \alpha ) - \sec( \alpha ) ) + 2 \sec( \alpha ) (2 \cot( \alpha ) - \sec( \alpha ) )$

$( \cot( \alpha ) + 2 \sec( \alpha ) ) \times (2 \cot( \alpha ) - \sec( \alpha ) )$