What is factor tan^2(x)-5tan(x)-6 ?

The solution to factor tan^2(x)-5tan(x)-6 is (tan(x)+1)(tan(x)-6)

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factor tan^2(x)-5tan(x)-6

factor

tan^{2} (x) - 5 tan (x) - 6

(tan (x) + 1) (tan (x) - 6)

Solution steps

tan^{2} (x) - 5 tan (x) - 6

Break the expression into groups

= (tan^{2} (x) + tan (x)) + (- 6 tan (x) - 6)

Factor out

tan (x)

from

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

Factor out

- 6

from

- 6 tan (x) - 6 : - 6 (tan (x) + 1)

= tan (x) (tan (x) + 1) - 6 (tan (x) + 1)

Factor out common term

tan (x) + 1

= (tan (x) + 1) (tan (x) - 6)

x^{2} - \frac{20 x + 4}{25}

1 2^{2} - x - 6

a^{36} - a^{12.25}

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

4 t^{3} + 100 \cdot π - 60 t^{2}

What is factor tan^2(x)-5tan(x)-6 ?
The solution to factor tan^2(x)-5tan(x)-6 is (tan(x)+1)(tan(x)-6)