What is factor 36x^3+9x^2-4x-1 ?

The solution to factor 36x^3+9x^2-4x-1 is (4x+1)(3x+1)(3x-1)

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factor 36x^3+9x^2-4x-1

factor

36 x^{3} + 9 x^{2} - 4 x - 1

(4 x + 1) (3 x + 1) (3 x - 1)

Solution steps

36 x^{3} + 9 x^{2} - 4 x - 1

= (36 x^{3} + 9 x^{2}) + (- 4 x - 1)

Factor out

9 x^{2}

from

36 x^{3} + 9 x^{2} : 9 x^{2} (4 x + 1)

Factor out

- 1

from

- 4 x - 1 : - (4 x + 1)

= 9 x^{2} (4 x + 1) - (4 x + 1)

Factor out common term

(4 x + 1) : (4 x + 1) (9 x^{2} - 1)

= (4 x + 1) (9 x^{2} - 1)

Factor

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

= (4 x + 1) (3 x + 1) (3 x - 1)

x^{2} + 3 x - 70

x^{2} + 23 x + 111 = 11 x

3^{3^{3}}

(2 x - 10) (x + 6) = 0

- 2 (1 + 3 b) > 1 - 6 b

What is factor 36x^3+9x^2-4x-1 ?
The solution to factor 36x^3+9x^2-4x-1 is (4x+1)(3x+1)(3x-1)