Factor by Grouping ab+2a+6b+12

$a b + 2 a + 6 b + 12$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(a b + 2 a) + 6 b + 12$

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

$a (b + 2) + 6 (b + 2)$

Step 2

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

$(b + 2) (a + 6)$