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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

= (2 x^{2} - 3 x y) + (4 x y - 6 y^{2})

Factor out

x

from

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

Factor out

2 y

from

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

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

Factor out common term

2 x - 3 y

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

x^{2} = 6 x + 16

w + \frac{1}{6} = - \frac{2}{3}

(3 x - 2) (2 x + 7) - (3 x + 11) (2 x - 3) = 0

g + 74 \leq 1

40 x \geq 50 x + 400

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