Factor x^2+(a-b)x-ab

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

Step 1

Apply the distributive property.

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

Step 2

Rewrite $x^{2} + a x - b x - a b$ in a factored form.

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.

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

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

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