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

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

Step 1

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

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

$\frac{x^{3}}{x \cdot x - x}$

Factor $x$ out of $- x$ .

$\frac{x^{3}}{x \cdot x + x \cdot - 1}$

Factor $x$ out of $x \cdot x + x \cdot - 1$ .

$\frac{x^{3}}{x (x - 1)}$

$\frac{x^{3}}{x (x - 1)}$

Step 2

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

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

$\frac{x \cdot x^{2}}{x (x - 1)}$

Cancel the common factors.

Cancel the common factor.

$\frac{x \cdot x^{2}}{x (x - 1)}$

Rewrite the expression.

$\frac{x^{2}}{x - 1}$

$\frac{x^{2}}{x - 1}$

$\frac{x^{2}}{x - 1}$

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