Factor by Grouping a^2+a-ab-b

$a^{2} + a - a b - b$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(a^{2} + a) - a b - b$

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

$a (a + 1) - b (a + 1)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $a + 1$ .

$(a + 1) (a - b)$