Algebra Examples

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

Step 1

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

Tap for more steps...

Step 1.1

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

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

Step 1.2

Factor $x$ out of $- x$ .

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

Step 1.3

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

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

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

Step 2

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

Tap for more steps...

Step 2.1

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

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

Step 2.2

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

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

Step 2.3

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

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

Step 2.4

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

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

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

Step 3

Cancel the common factor of $x$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$