Algebra Examples

$\frac{x^{2} + x}{x - 3} \cdot \frac{x + 3}{x + 1}$

Step 1

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

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Step 1.1

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

$\frac{x \cdot x + x}{x - 3} \cdot \frac{x + 3}{x + 1}$

Step 1.2

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

$\frac{x \cdot x + x^{1}}{x - 3} \cdot \frac{x + 3}{x + 1}$

Step 1.3

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

$\frac{x \cdot x + x \cdot 1}{x - 3} \cdot \frac{x + 3}{x + 1}$

Step 1.4

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

$\frac{x (x + 1)}{x - 3} \cdot \frac{x + 3}{x + 1}$

Step 2

Cancel the common factor of $x + 1$ .

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Step 2.1

Factor $x + 1$ out of $x (x + 1)$ .

$\frac{(x + 1) x}{x - 3} \cdot \frac{x + 3}{x + 1}$

Step 2.2

Cancel the common factor.

$\frac{(x + 1) x}{x - 3} \cdot \frac{x + 3}{x + 1}$

Step 2.3

Rewrite the expression.

$\frac{x}{x - 3} \cdot (x + 3)$

Step 3

Multiply $\frac{x}{x - 3}$ by $x + 3$ .

$\frac{x (x + 3)}{x - 3}$