What is factor tan^3(a)-cot^3(a) ?

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

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factor tan^3(a)-cot^3(a)

factor

tan^{3} (a) - cot^{3} (a)

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

Solution steps

tan^{3} (a) - cot^{3} (a)

Apply Difference of Cubes Formula:

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

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

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

cos^{6} (θ) + sin^{6} (x)

\frac{d}{d t} ((P (t)) (k P (t) (1200 - P (t))))

b^{4} (a^{3} b)

\frac{6 - x}{x ^{2} - 36}

2 x^{'} 1

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