What is factor tan^2(x)+5tan(x)+4 ?

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

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factor tan^2(x)+5tan(x)+4

factor

tan^{2} (x) + 5 tan (x) + 4

(tan (x) + 1) (tan (x) + 4)

Solution steps

tan^{2} (x) + 5 tan (x) + 4

Break the expression into groups

= (tan^{2} (x) + tan (x)) + (4 tan (x) + 4)

Factor out

tan (x)

from

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

Factor out

4

from

4 tan (x) + 4 : 4 (tan (x) + 1)

= tan (x) (tan (x) + 1) + 4 (tan (x) + 1)

Factor out common term

tan (x) + 1

= (tan (x) + 1) (tan (x) + 4)

a b^{2} - b c^{2} - ab + c^{2}

C_{1} e^{x} + C_{2} x e^{x}

4 (x)^{3}

2 e^{t} \cdot cos (t) - 2 e^{t}

x^{2} - 3 (x + 6)

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