Simplify (4a^3b-6ab+2ab^2)/(2ab)

$\frac{4 a^{3} b - 6 a b + 2 a b^{2}}{2 a b}$

Step 1

Factor $2 a b$ out of $4 a^{3} b - 6 a b + 2 a b^{2}$ .

Factor $2 a b$ out of $4 a^{3} b$ .

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

Factor $2 a b$ out of $- 6 a b$ .

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

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

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

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

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

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

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

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Cancel the common factor of $a$ .

Cancel the common factor.

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

Rewrite the expression.

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

Step 4

Cancel the common factor of $b$ .

Cancel the common factor.

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

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

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

Step 5

Move $- 3$ .

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