What is factor 6x^2-4ax-9bx+6ab ?

The solution to factor 6x^2-4ax-9bx+6ab is (-2a+3x)(2x-3b)

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factor 6x^2-4ax-9bx+6ab

factor

6 x^{2} - 4 a x - 9 b x + 6 ab

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

Solution steps

6 x^{2} - 4 a x - 9 b x + 6 ab

Factor

6 x^{2} - 4 a x : 2 x (3 x - 2 a)

Factor

- 9 b x + 6 ab : 3 b (- 3 x + 2 a)

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

Rewrite as

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

Factor out common term

(- 2 a + 3 x)

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

(a + b)^{3} - (30 + 4 b)^{3}

x^{2} + 10 + 24

(5 a + 1)^{2} - 2 (5 a + 1) - 3

[2.8]

6 x^{2} z - 15 x^{2} + 2 yz - 5 y

What is factor 6x^2-4ax-9bx+6ab ?
The solution to factor 6x^2-4ax-9bx+6ab is (-2a+3x)(2x-3b)