Factor 3x^3-9ax^2-x+3a

$3 x^{3} - 9 a x^{2} - x + 3 a$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 x^{3} - 9 a x^{2}) - x + 3 a$

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

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

Step 2

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

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