Factor 9x^3-3x^2-3x+1=0

$9 x^{3} - 3 x^{2} - 3 x + 1 = 0$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(9 x^{3} - 3 x^{2}) - 3 x + 1 = 0$

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

$3 x^{2} (3 x - 1) - (3 x - 1) = 0$

Factor the polynomial by factoring out the greatest common factor, $3 x - 1$ .

$(3 x - 1) (3 x^{2} - 1) = 0$