Simplify (x^4-2x^3)/(5x^2)

$\frac{x^{4} - 2 x^{3}}{5 x^{2}}$

Factor $x^{3}$ out of $x^{4} - 2 x^{3}$ .

Factor $x^{3}$ out of $x^{4}$ .

$\frac{x^{3} x - 2 x^{3}}{5 x^{2}}$

Factor $x^{3}$ out of $- 2 x^{3}$ .

$\frac{x^{3} x + x^{3} \cdot - 2}{5 x^{2}}$

Factor $x^{3}$ out of $x^{3} x + x^{3} \cdot - 2$ .

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

Cancel the common factor of $x^{3}$ and $x^{2}$ .

Factor $x^{2}$ out of $x^{3} (x - 2)$ .

$\frac{x^{2} (x (x - 2))}{5 x^{2}}$

Cancel the common factors.

Factor $x^{2}$ out of $5 x^{2}$ .

$\frac{x^{2} (x (x - 2))}{x^{2} \cdot 5}$

Cancel the common factor.

$\frac{x^{2} (x (x - 2))}{x^{2} \cdot 5}$

Rewrite the expression.

$\frac{x (x - 2)}{5}$