Pre-Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Factor $y$ out of $- y$ .

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

Step 1.3

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

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

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

Step 2

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

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Step 2.1

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

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

Step 2.2

Factor $x$ out of $- x$ .

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

Step 2.3

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

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

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

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