Algebra Examples

$\frac{6 x^{3} + 6 x}{x^{2} + 1}$

Step 1

Factor $6 x$ out of $6 x^{3} + 6 x$ .

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Step 1.1

Factor $6 x$ out of $6 x^{3}$ .

$\frac{6 x (x^{2}) + 6 x}{x^{2} + 1}$

Step 1.2

Factor $6 x$ out of $6 x$ .

$\frac{6 x (x^{2}) + 6 x (1)}{x^{2} + 1}$

Step 1.3

Factor $6 x$ out of $6 x (x^{2}) + 6 x (1)$ .

$\frac{6 x (x^{2} + 1)}{x^{2} + 1}$

$\frac{6 x (x^{2} + 1)}{x^{2} + 1}$

Step 2

Cancel the common factor of $x^{2} + 1$ .

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Step 2.1

Cancel the common factor.

$\frac{6 x (x^{2} + 1)}{x^{2} + 1}$

Step 2.2

Divide $6 x$ by $1$ .

$6 x$

$6 x$

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