Pre-Algebra Examples

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

Step 1

Combine the numerators over the common denominator.

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

Step 2

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

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Step 2.1

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

$\frac{x \cdot x + 2 x}{x + y}$

Step 2.2

Factor $x$ out of $2 x$ .

$\frac{x \cdot x + x \cdot 2}{x + y}$

Step 2.3

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

$\frac{x (x + 2)}{x + y}$