((1-tan^(2)x)tan(2x) )/(tanx) simplify

Question

`((1-tan^(2)x)tan(2x) )/(tanx)` simplify

Answer 1

Explanation:

`((1-tan^(2)x)tan(2x) )/(tanx) \\ but \: \tan(2x) = \frac{2 \tan(x) }{1 - { \tan }^(2)x } \\ therefore : \\ = \frac{(1 - { \tan ^(2)x)(2 \tan(x)) }}{ (\tan(x) )(1 - { \tan ^(2)x })} \\ = (2 \tan(x) )/( \tan(x) ) \\ = 2`