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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

4 x

from

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

Factor out

3 y

from

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

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

Factor out common term

3 x - 2 y

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

2 + 2 a \leq 10

\frac{x}{2} + 7 \geq 9

x - 7 \leq 7 x + 5

x^{2} + 8 x = 5

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