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

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

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

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

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

Factor $x$ out of $- x$ .

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

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

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

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

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

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

$\frac{x (x - 1)}{x \cdot x + x}$

Raise $x$ to the power of $1$ .

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

Factor $x$ out of $x^{1}$ .

$\frac{x (x - 1)}{x \cdot x + x \cdot 1}$

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

$\frac{x (x - 1)}{x (x + 1)}$

$\frac{x (x - 1)}{x (x + 1)}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x (x - 1)}{x (x + 1)}$

Rewrite the expression.

$\frac{x - 1}{x + 1}$

$\frac{x - 1}{x + 1}$

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