Factor by Grouping 2a^2+8ab-3a-12b

$2 a^{2} + 8 a b - 3 a - 12 b$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(2 a^{2} + 8 a b) - 3 a - 12 b$

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

$2 a (a + 4 b) - 3 (a + 4 b)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $a + 4 b$ .

$(a + 4 b) (2 a - 3)$