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)

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

7 y - 4 = 8 y - 18

c^{3} + 8

5 ∣ n ∣ - 15 = 40

m^{2} - 2 m + 1 = 0

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