Simplify (15a^3b^2-9a^2b+3ab)/(3ab)

$\frac{15 a^{3} b^{2} - 9 a^{2} b + 3 a b}{3 a b}$

Step 1

Factor $3 a b$ out of $15 a^{3} b^{2} - 9 a^{2} b + 3 a b$ .

Factor $3 a b$ out of $15 a^{3} b^{2}$ .

$\frac{3 a b (5 a^{2} b) - 9 a^{2} b + 3 a b}{3 a b}$

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

$\frac{3 a b (5 a^{2} b) + 3 a b (- 3 a) + 3 a b}{3 a b}$

Factor $3 a b$ out of $3 a b$ .

$\frac{3 a b (5 a^{2} b) + 3 a b (- 3 a) + 3 a b (1)}{3 a b}$

Factor $3 a b$ out of $3 a b (5 a^{2} b) + 3 a b (- 3 a)$ .

$\frac{3 a b (5 a^{2} b - 3 a) + 3 a b (1)}{3 a b}$

Factor $3 a b$ out of $3 a b (5 a^{2} b - 3 a) + 3 a b (1)$ .

$\frac{3 a b (5 a^{2} b - 3 a + 1)}{3 a b}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 a b (5 a^{2} b - 3 a + 1)}{3 a b}$

Rewrite the expression.

$\frac{a b (5 a^{2} b - 3 a + 1)}{a b}$

Step 3

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a b (5 a^{2} b - 3 a + 1)}{a b}$

Rewrite the expression.

$\frac{b (5 a^{2} b - 3 a + 1)}{b}$

Step 4

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{b (5 a^{2} b - 3 a + 1)}{b}$

Divide $5 a^{2} b - 3 a + 1$ by $1$ .

$5 a^{2} b - 3 a + 1$