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

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

Step 1

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

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

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

Factor $x$ out of $- 2 x$ .

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

Factor $x$ out of $x \cdot x + x \cdot - 2$ .

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

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

Step 2

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

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

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

Cancel the common factors.

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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