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)

- \frac{2}{9} - \frac{4}{9}

3 \times \frac{1}{4}

107 + 263

17 \cdot 34

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