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

The solution to factor tan^2(x)+5tan(x)+6 is (tan(x)+2)(tan(x)+3)

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

factor

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

(tan (x) + 2) (tan (x) + 3)

Solution steps

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

Break the expression into groups

= (tan^{2} (x) + 2 tan (x)) + (3 tan (x) + 6)

Factor out

tan (x)

from

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

Factor out

3

from

3 tan (x) + 6 : 3 (tan (x) + 2)

= tan (x) (tan (x) + 2) + 3 (tan (x) + 2)

Factor out common term

tan (x) + 2

= (tan (x) + 2) (tan (x) + 3)

θ (1.67)

8 x^{3} + (- 9 y^{2})

2 x + 2 x

2 x + 3 x

4 x - 6 x + 9

What is factor tan^2(x)+5tan(x)+6 ?
The solution to factor tan^2(x)+5tan(x)+6 is (tan(x)+2)(tan(x)+3)