What is factor 3x^2-4x+9xy-12y ?

The solution to factor 3x^2-4x+9xy-12y is (3x-4)(x+3y)

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factor 3x^2-4x+9xy-12y

factor

3 x^{2} - 4 x + 9 x y - 12 y

(3 x - 4) (x + 3 y)

Solution steps

3 x^{2} - 4 x + 9 x y - 12 y

= (3 x^{2} - 4 x) + (9 x y - 12 y)

Factor out

x

from

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

Factor out

3 y

from

9 x y - 12 y : 3 y (3 x - 4)

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

Factor out common term

3 x - 4

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

4 - \frac{1}{4}

x^{2} + 15 x = - 56

3 x \cdot 3 x

7 x - x^{2}

(x - 2) (x - 5) \leq 0

What is factor 3x^2-4x+9xy-12y ?
The solution to factor 3x^2-4x+9xy-12y is (3x-4)(x+3y)