Factor ab+7a+2b+14

$a b + 7 a + 2 b + 14$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(a b + 7 a) + 2 b + 14$

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

$a (b + 7) + 2 (b + 7)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $b + 7$ .

$(b + 7) (a + 2)$