What is factor 18x^3+9x^2-2x-1 ?

The solution to factor 18x^3+9x^2-2x-1 is (2x+1)(3x+1)(3x-1)

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factor 18x^3+9x^2-2x-1

factor

18 x^{3} + 9 x^{2} - 2 x - 1

(2 x + 1) (3 x + 1) (3 x - 1)

Solution steps

18 x^{3} + 9 x^{2} - 2 x - 1

= (18 x^{3} + 9 x^{2}) + (- 2 x - 1)

Factor out

9 x^{2}

from

18 x^{3} + 9 x^{2} : 9 x^{2} (2 x + 1)

Factor out

- 1

from

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

= 9 x^{2} (2 x + 1) - (2 x + 1)

Factor out common term

(2 x + 1) : (2 x + 1) (9 x^{2} - 1)

= (2 x + 1) (9 x^{2} - 1)

Factor

9 x^{2} - 1 : (3 x + 1) (3 x - 1)

= (2 x + 1) (3 x + 1) (3 x - 1)

\frac{1}{2} ∣ x ∣ \geq 1

2 b + 8 - 5 b + 3 = - 13 + 8 b - 5

y^{2} - 11 y = 0

x^{2 n} + x^{n + 2}

25 x^{2} + 64 = 289

What is factor 18x^3+9x^2-2x-1 ?
The solution to factor 18x^3+9x^2-2x-1 is (2x+1)(3x+1)(3x-1)