Divide (3a^3-6a^2b+9ab^2)÷(3a)

$(3 a^{3} - 6 a^{2} b + 9 a b^{2}) \div (3 a)$

Rewrite the division as a fraction.

$\frac{3 a^{3} - 6 a^{2} b + 9 a b^{2}}{3 a}$

Factor $3 a$ out of $3 a^{3} - 6 a^{2} b + 9 a b^{2}$ .

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

$\frac{3 a (a^{2}) - 6 a^{2} b + 9 a b^{2}}{3 a}$

Factor $3 a$ out of $- 6 a^{2} b$ .

$\frac{3 a (a^{2}) + 3 a (- 2 a b) + 9 a b^{2}}{3 a}$

Factor $3 a$ out of $9 a b^{2}$ .

$\frac{3 a (a^{2}) + 3 a (- 2 a b) + 3 a (3 b^{2})}{3 a}$

Factor $3 a$ out of $3 a (a^{2}) + 3 a (- 2 a b)$ .

$\frac{3 a (a^{2} - 2 a b) + 3 a (3 b^{2})}{3 a}$

Factor $3 a$ out of $3 a (a^{2} - 2 a b) + 3 a (3 b^{2})$ .

$\frac{3 a (a^{2} - 2 a b + 3 b^{2})}{3 a}$

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 a (a^{2} - 2 a b + 3 b^{2})}{3 a}$

Rewrite the expression.

$\frac{a (a^{2} - 2 a b + 3 b^{2})}{a}$

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a (a^{2} - 2 a b + 3 b^{2})}{a}$

Divide $a^{2} - 2 a b + 3 b^{2}$ by $1$ .

$a^{2} - 2 a b + 3 b^{2}$