Factor 3x^3-12x^2+27x

$3 x^{3} - 12 x^{2} + 27 x$

Step 1

Factor $3 x$ out of $3 x^{3}$ .

$3 x (x^{2}) - 12 x^{2} + 27 x$

Step 2

Factor $3 x$ out of $- 12 x^{2}$ .

$3 x (x^{2}) + 3 x (- 4 x) + 27 x$

Step 3

Factor $3 x$ out of $27 x$ .

$3 x (x^{2}) + 3 x (- 4 x) + 3 x (9)$

Step 4

Factor $3 x$ out of $3 x (x^{2}) + 3 x (- 4 x)$ .

$3 x (x^{2} - 4 x) + 3 x (9)$

Step 5

Factor $3 x$ out of $3 x (x^{2} - 4 x) + 3 x (9)$ .

$3 x (x^{2} - 4 x + 9)$