Divide (18m^2n-4mn^2)/(-2mn)

$\frac{18 m^{2} n - 4 m n^{2}}{- 2 m n}$

Step 1

Factor $2 m n$ out of $18 m^{2} n - 4 m n^{2}$ .

Factor $2 m n$ out of $18 m^{2} n$ .

$\frac{2 m n (9 m) - 4 m n^{2}}{- 2 m n}$

Factor $2 m n$ out of $- 4 m n^{2}$ .

$\frac{2 m n (9 m) + 2 m n (- 2 n)}{- 2 m n}$

Factor $2 m n$ out of $2 m n (9 m) + 2 m n (- 2 n)$ .

$\frac{2 m n (9 m - 2 n)}{- 2 m n}$

Step 2

Cancel the common factor of $2$ and $- 2$ .

Factor $2$ out of $2 m n (9 m - 2 n)$ .

$\frac{2 (m n (9 m - 2 n))}{- 2 m n}$

Cancel the common factors.

Factor $2$ out of $- 2 m n$ .

$\frac{2 (m n (9 m - 2 n))}{2 (- m n)}$

Cancel the common factor.

$\frac{2 (m n (9 m - 2 n))}{2 (- m n)}$

Rewrite the expression.

$\frac{m n (9 m - 2 n)}{- m n}$

Step 3

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{m n (9 m - 2 n)}{- m n}$

Rewrite the expression.

$\frac{n (9 m - 2 n)}{- 1 n}$

Step 4

Cancel the common factor of $n$ .

Cancel the common factor.

$\frac{n (9 m - 2 n)}{- 1 n}$

Rewrite the expression.

$\frac{9 m - 2 n}{- 1}$

Move the negative one from the denominator of $\frac{9 m - 2 n}{- 1}$ .

$- 1 \cdot (9 m - 2 n)$

Step 5

Rewrite $- 1 \cdot (9 m - 2 n)$ as $- (9 m - 2 n)$ .

$- (9 m - 2 n)$

Step 6

Apply the distributive property.

$- (9 m) - (- 2 n)$

Step 7

Multiply $9$ by $- 1$ .

$- 9 m - (- 2 n)$

Step 8

Multiply $- 2$ by $- 1$ .

$- 9 m + 2 n$

Divide (18m^2n-4mn^2)/(-2mn)

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