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

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

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