Algebra Examples

Simplify $\frac{x^{2} + 2 x}{x^{2} (x + 2)}$

Step 1

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

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Step 1.1

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

$\frac{x \cdot x + 2 x}{x^{2} (x + 2)}$

Step 1.2

Factor $x$ out of $2 x$ .

$\frac{x \cdot x + x \cdot 2}{x^{2} (x + 2)}$

Step 1.3

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

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

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

Step 2

Cancel the common factors.

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Step 2.1

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

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

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

Step 3

Cancel the common factor of $x + 2$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

$\frac{1}{x}$

$\frac{1}{x}$

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