Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

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

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

Step 1.3

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

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

Step 1.4

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

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

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

Step 2

Cancel the common factors.

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Step 2.1

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

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

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

Step 3

Split the fraction $\frac{x + 1}{x}$ into two fractions.

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

Step 4

Cancel the common factor of $x$ .

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Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

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

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

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