Factor (x^3-x^2+3x-3)

$(x^{3} - x^{2} + 3 x - 3)$

Remove parentheses.

$x^{3} - x^{2} + 3 x - 3$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{3} - x^{2}) + 3 x - 3$

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

$x^{2} (x - 1) + 3 (x - 1)$

Factor the polynomial by factoring out the greatest common factor, $x - 1$ .

$(x - 1) (x^{2} + 3)$