Precalculus Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

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

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

Step 1.3

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

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

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

Step 2

Cancel the common factor of $x + 2$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

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

$x^{2}$

$x^{2}$

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