Factor x^2-ac-cx+ax

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

Step 1

Regroup terms.

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

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

$x (- c + x) + a (- 1 c + x)$

Step 3

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

$(- c + x) (x + a)$

Step 4

Factor $- 1$ out of $- c + x$ .

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

$(- (c) + x) (x + a)$

Factor $- 1$ out of $x$ .

$(- (c) - 1 (- x)) (x + a)$

Factor $- 1$ out of $- (c) - 1 (- x)$ .

$- (c - x) (x + a)$