What is factor 6x^2+xy-12y^2 ?

The solution to factor 6x^2+xy-12y^2 is (3x-4y)(2x+3y)

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factor 6x^2+xy-12y^2

factor

6 x^{2} + x y - 12 y^{2}

(3 x - 4 y) (2 x + 3 y)

Solution steps

6 x^{2} + x y - 12 y^{2}

Break the expression into groups

= (6 x^{2} - 8 x y) + (9 x y - 12 y^{2})

Factor out

2 x

from

6 x^{2} - 8 x y : 2 x (3 x - 4 y)

Factor out

3 y

from

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

= 2 x (3 x - 4 y) + 3 y (3 x - 4 y)

Factor out common term

3 x - 4 y

= (3 x - 4 y) (2 x + 3 y)

2 x^{2} - (x - 2 y) (2 x + y)

- x - 8 = 0

6^{1}

x \cdot 3 \cdot 41 = 984

3 x^{2} - 84 = 0

What is factor 6x^2+xy-12y^2 ?
The solution to factor 6x^2+xy-12y^2 is (3x-4y)(2x+3y)