Factor 4xy-3-2y+6x

$4 x y - 3 - 2 y + 6 x$

Reorder terms.

$4 x y + 6 x - 2 y - 3$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 x y + 6 x) - 2 y - 3$

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

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

Factor the polynomial by factoring out the greatest common factor, $2 y + 3$ .

$(2 y + 3) (2 x - 1)$