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

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

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