Factor by Grouping 6m^2+9mn-8m-12n

$6 m^{2} + 9 m n - 8 m - 12 n$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(6 m^{2} + 9 m n) - 8 m - 12 n$

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

$3 m (2 m + 3 n) - 4 (2 m + 3 n)$

Step 2

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

$(2 m + 3 n) (3 m - 4)$