What is factor 8b^3-4b^2a-18b+9a ?

The solution to factor 8b^3-4b^2a-18b+9a is (2b-a)(2b+3)(2b-3)

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factor 8b^3-4b^2a-18b+9a

factor

8 b^{3} - 4 b^{2} a - 18 b + 9 a

(2 b - a) (2 b + 3) (2 b - 3)

Solution steps

8 b^{3} - 4 b^{2} a - 18 b + 9 a

= (8 b^{3} - 4 b^{2} a) + (9 a - 18 b)

Factor out

4 b^{2}

from

8 b^{3} - 4 b^{2} a : 4 b^{2} (2 b - a)

Factor out

9

from

9 a - 18 b : 9 (a - 2 b)

= 4 b^{2} (2 b - a) + 9 (a - 2 b)

9 (a - 2 b) = - 9 (2 b - a)

= 4 b^{2} (2 b - a) - 9 (2 b - a)

Factor out common term

2 b - a

= (2 b - a) (4 b^{2} - 9)

Factor

4 b^{2} - 9 : (2 b + 3) (2 b - 3)

= (2 b - a) (2 b + 3) (2 b - 3)

3 x + 19 = 6 x + 7

∣ 3 m - 3 ∣ = 0

- 2 x^{2} + 3 x - \frac{3}{2} = 0

6 x^{3} - 11 x^{2} + 6 x - 1

8 + 2

What is factor 8b^3-4b^2a-18b+9a ?
The solution to factor 8b^3-4b^2a-18b+9a is (2b-a)(2b+3)(2b-3)