What is factor tan^3(x)+cot^3(x) ?

The solution to factor tan^3(x)+cot^3(x) is (tan(x)+cot(x))(tan^2(x)-cot(x)tan(x)+cot^2(x))

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factor tan^3(x)+cot^3(x)

factor

tan^{3} (x) + cot^{3} (x)

(tan (x) + cot (x)) (tan^{2} (x) - cot (x) tan (x) + cot^{2} (x))

Solution steps

tan^{3} (x) + cot^{3} (x)

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

tan^{3} (x) + cot^{3} (x) = (tan (x) + cot (x)) (tan^{2} (x) - cot (x) tan (x) + cot^{2} (x))

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

2 - 49

(x - 2) (x - 1) (x + 2) (x + 3) - 60

\frac{x}{x + 4 - 2}

sin^{2} (x) - 4 sin (x) + 3

y^{2} - 15 + 50

What is factor tan^3(x)+cot^3(x) ?
The solution to factor tan^3(x)+cot^3(x) is (tan(x)+cot(x))(tan^2(x)-cot(x)tan(x)+cot^2(x))