What is factor tan^2(t)-4tan(t)-5 ?

The solution to factor tan^2(t)-4tan(t)-5 is (tan(t)+1)(tan(t)-5)

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factor tan^2(t)-4tan(t)-5

factor

tan^{2} (t) - 4 tan (t) - 5

(tan (t) + 1) (tan (t) - 5)

Solution steps

tan^{2} (t) - 4 tan (t) - 5

Break the expression into groups

= (tan^{2} (t) + tan (t)) + (- 5 tan (t) - 5)

Factor out

tan (t)

from

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

Factor out

- 5

from

- 5 tan (t) - 5 : - 5 (tan (t) + 1)

= tan (t) (tan (t) + 1) - 5 (tan (t) + 1)

Factor out common term

tan (t) + 1

= (tan (t) + 1) (tan (t) - 5)

e^{- 4 t} u (- t) + 4 e^{- 7 t} u (t)

x - (y - 1)^{4}

x^{35} + 45 x

(- 7 x^{9}) + 4 x^{2}

2 cos^{2} (x) - 9 cos (x) - 5

What is factor tan^2(t)-4tan(t)-5 ?
The solution to factor tan^2(t)-4tan(t)-5 is (tan(t)+1)(tan(t)-5)