What is factor 9g^3-g-18g^2h+2h ?

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

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factor 9g^3-g-18g^2h+2h

factor

9 g^{3} - g - 18 g^{2} h + 2 h

(3 g + 1) (3 g - 1) (g - 2 h)

Solution steps

9 g^{3} - g - 18 g^{2} h + 2 h

= (9 g^{3} - g) + (2 h - 18 g^{2} h)

Factor out

g

from

9 g^{3} - g : g (9 g^{2} - 1)

Factor out

2 h

from

2 h - 18 g^{2} h : 2 h (1 - 9 g^{2})

= g (9 g^{2} - 1) + 2 h (1 - 9 g^{2})

2 h (1 - 9 g^{2}) = - 2 h (9 g^{2} - 1)

= g (9 g^{2} - 1) - 2 h (9 g^{2} - 1)

Factor out common term

9 g^{2} - 1

= (9 g^{2} - 1) (g - 2 h)

Factor

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

= (3 g + 1) (3 g - 1) (g - 2 h)

3 x^{2} - 7 x + 4 = 0

- 16 t^{2} + 76 t + 60

\frac{6}{30}

6 x^{2} + 37 x = 13

81 x^{2} - 49 = 0

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