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

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

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

factor

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

(tan (x) + 1) (tan (x) - 2)

Solution steps

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

Break the expression into groups

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

Factor out

tan (x)

from

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

Factor out

- 2

from

- 2 tan (x) - 2 : - 2 (tan (x) + 1)

= tan (x) (tan (x) + 1) - 2 (tan (x) + 1)

Factor out common term

tan (x) + 1

= (tan (x) + 1) (tan (x) - 2)

- (8 x)^{2} - 4 (8 x) + 77

(A \cdot B) C

\frac{18}{36}

4 x^{1} 8 - 1

9 p^{2} 40 q^{2}

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