What is factor 2x^2-3xy-4x+6y ?

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

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factor 2x^2-3xy-4x+6y

factor

2 x^{2} - 3 x y - 4 x + 6 y

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

Solution steps

2 x^{2} - 3 x y - 4 x + 6 y

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

Factor out

x

from

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

Factor out

2

from

6 y - 4 x : 2 (3 y - 2 x)

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

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

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

Factor out common term

2 x - 3 y

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

\frac{2}{3} - \frac{4}{5}

∣ 3 x ∣ = 12

x^{3} - 13 x - 12

(\frac{x}{3})^{3}

2 x^{3} - 5 x^{2} - 28 x + 15

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