What is factor tan^3(x)-1 ?

The solution to factor tan^3(x)-1 is (tan(x)-1)(tan^2(x)+tan(x)+1)

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factor tan^3(x)-1

factor

tan^{3} (x) - 1

(tan (x) - 1) (tan^{2} (x) + tan (x) + 1)

Solution steps

tan^{3} (x) - 1

Rewrite

1

1^{3}

= tan^{3} (x) - 1^{3}

Apply Difference of Cubes Formula:

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

tan^{3} (x) - 1^{3} = (tan (x) - 1) (tan^{2} (x) + tan (x) + 1)

= (tan (x) - 1) (tan^{2} (x) + tan (x) + 1)

(x + 2 y) - 3 z

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

(- 2.3) a

(1 - x^{2}) - x

- 1 a z + 8 a^{2} - z^{2}

What is factor tan^3(x)-1 ?
The solution to factor tan^3(x)-1 is (tan(x)-1)(tan^2(x)+tan(x)+1)