Factor by Grouping 3x^2y+6xy-5x-10

$3 x^{2} y + 6 x y - 5 x - 10$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 x^{2} y + 6 x y) - 5 x - 10$

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

$3 x y (x + 2) - 5 (x + 2)$

Step 2

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

$(x + 2) (3 x y - 5)$