Factor 4x^2-8xy-3x+6y

$4 x^{2} - 8 x y - 3 x + 6 y$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 x^{2} - 8 x y) - 3 x + 6 y$

Factor out the greatest common factor (GCF) from each group.

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $x - 2 y$ .

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