Factor 9m^2-45m+18m^3

$9 m^{2} - 45 m + 18 m^{3}$

Step 1

Factor $9 m$ out of $9 m^{2} - 45 m + 18 m^{3}$ .

Factor $9 m$ out of $9 m^{2}$ .

$9 m (m) - 45 m + 18 m^{3}$

Factor $9 m$ out of $- 45 m$ .

$9 m (m) + 9 m (- 5) + 18 m^{3}$

Factor $9 m$ out of $18 m^{3}$ .

$9 m (m) + 9 m (- 5) + 9 m (2 m^{2})$

Factor $9 m$ out of $9 m (m) + 9 m (- 5)$ .

$9 m (m - 5) + 9 m (2 m^{2})$

Factor $9 m$ out of $9 m (m - 5) + 9 m (2 m^{2})$ .

$9 m (m - 5 + 2 m^{2})$

Step 2

Reorder terms.

$9 m (2 m^{2} + m - 5)$