Algebra Examples

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

Step 1

Factor $x$ out of $2 x^{3} - x^{2} + x$ .

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Step 1.1

Factor $x$ out of $2 x^{3}$ .

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

Step 1.2

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

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

Step 1.3

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

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

Step 1.4

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

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

Step 1.5

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

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

Step 1.6

Factor $x$ out of $x (2 x^{2} - x) + x \cdot 1$ .

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

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

Step 2

Cancel the common factor of $x$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Divide $2 x^{2} - x + 1$ by $1$ .

$2 x^{2} - x + 1$

$2 x^{2} - x + 1$

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