Factor 2a+ac^2-a^2c-2c

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

Regroup terms.

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

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

$a (- a c + 2) - c (- a c + 2)$

Factor the polynomial by factoring out the greatest common factor, $- a c + 2$ .

$(- a c + 2) (a - c)$

Factor $- 1$ out of $- a c + 2$ .

Factor $- 1$ out of $- a c$ .

$(- (a c) + 2) (a - c)$

Rewrite $2$ as $- 1 (- 2)$ .

$(- (a c) - 1 (- 2)) (a - c)$

Factor $- 1$ out of $- (a c) - 1 (- 2)$ .

$- (a c - 2) (a - c)$