What is factor 12x^2-x-1 ?

The solution to factor 12x^2-x-1 is (4x+1)(3x-1)

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factor 12x^2-x-1

factor

12 x^{2} - x - 1

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

Solution steps

12 x^{2} - x - 1

Break the expression into groups

= (12 x^{2} + 3 x) + (- 4 x - 1)

Factor out

3 x

from

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

Factor out

- 1

from

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

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

Factor out common term

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

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

(2 x - 1) (3 x + 2) = x + 292

4 a^{2} - 28 ab + 49 b^{2}

77 - 5175

4 x + 6 < 22

x^{5} y - x y^{4}