Factor x^2-ax-bx+ab

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

$x (x - a) - b (x - a)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x - a$ .

$(x - a) (x - b)$