Precalculus Examples

$4 x^{3} - 8 x^{2} + 12 x$

Step 1

Factor $4 x$ out of $4 x^{3}$ .

$4 x (x^{2}) - 8 x^{2} + 12 x$

Step 2

Factor $4 x$ out of $- 8 x^{2}$ .

$4 x (x^{2}) + 4 x (- 2 x) + 12 x$

Step 3

Factor $4 x$ out of $12 x$ .

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

Step 4

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

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

Step 5

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

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