What is factor tan^2(2x)-sec^2(x) ?

The solution to factor tan^2(2x)-sec^2(x) is (tan(2x)+sec(x))(tan(2x)-sec(x))

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factor tan^2(2x)-sec^2(x)

factor

tan^{2} (2 x) - sec^{2} (x)

(tan (2 x) + sec (x)) (tan (2 x) - sec (x))

Solution steps

tan^{2} (2 x) - sec^{2} (x)

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

tan^{2} (2 x) - sec^{2} (x) = (tan (2 x) + sec (x)) (tan (2 x) - sec (x))

= (tan (2 x) + sec (x)) (tan (2 x) - sec (x))

\frac{( 18 n ^{2} - 9 n + 1 )}{( 3 n - 1 )}

\frac{csc ( x )}{sec ( x )}

\frac{3}{11} - \frac{2}{3}

sin (θ) + cos (θ) cot (θ)

\frac{1}{cos ( θ )}

What is factor tan^2(2x)-sec^2(x) ?
The solution to factor tan^2(2x)-sec^2(x) is (tan(2x)+sec(x))(tan(2x)-sec(x))