Simplify (10m^3n^4-15mn)/(5mn)

$\frac{10 m^{3} n^{4} - 15 m n}{5 m n}$

Step 1

Factor $5 m n$ out of $10 m^{3} n^{4} - 15 m n$ .

Factor $5 m n$ out of $10 m^{3} n^{4}$ .

$\frac{5 m n (2 m^{2} n^{3}) - 15 m n}{5 m n}$

Factor $5 m n$ out of $- 15 m n$ .

$\frac{5 m n (2 m^{2} n^{3}) + 5 m n (- 3)}{5 m n}$

Factor $5 m n$ out of $5 m n (2 m^{2} n^{3}) + 5 m n (- 3)$ .

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

Step 2

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{m n (2 m^{2} n^{3} - 3)}{m n}$

Step 3

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{m n (2 m^{2} n^{3} - 3)}{m n}$

Rewrite the expression.

$\frac{n (2 m^{2} n^{3} - 3)}{n}$

Step 4

Cancel the common factor of $n$ .

Cancel the common factor.

$\frac{n (2 m^{2} n^{3} - 3)}{n}$

Divide $2 m^{2} n^{3} - 3$ by $1$ .

$2 m^{2} n^{3} - 3$