Simplify (5m^3n-25m^2n^2)/(5m^2n)

$\frac{5 m^{3} n - 25 m^{2} n^{2}}{5 m^{2} n}$

Step 1

Factor $5 m^{2} n$ out of $5 m^{3} n - 25 m^{2} n^{2}$ .

Factor $5 m^{2} n$ out of $5 m^{3} n$ .

$\frac{5 m^{2} n (m) - 25 m^{2} n^{2}}{5 m^{2} n}$

Factor $5 m^{2} n$ out of $- 25 m^{2} n^{2}$ .

$\frac{5 m^{2} n (m) + 5 m^{2} n (- 5 n)}{5 m^{2} n}$

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

$\frac{5 m^{2} n (m - 5 n)}{5 m^{2} n}$

Step 2

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 m^{2} n (m - 5 n)}{5 m^{2} n}$

Rewrite the expression.

$\frac{m^{2} n (m - 5 n)}{m^{2} n}$

Step 3

Cancel the common factor of $m^{2}$ .

Cancel the common factor.

$\frac{m^{2} n (m - 5 n)}{m^{2} n}$

Rewrite the expression.

$\frac{n (m - 5 n)}{n}$

Step 4

Cancel the common factor of $n$ .

Cancel the common factor.

$\frac{n (m - 5 n)}{n}$

Divide $m - 5 n$ by $1$ .

$m - 5 n$