Finite Math Examples

$\frac{x}{x^{3} + 6 x^{2} - 8 x}$

Step 1

Factor $x$ out of $x^{3} + 6 x^{2} - 8 x$ .

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Step 1.1

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

$\frac{x}{x \cdot x^{2} + 6 x^{2} - 8 x}$

Step 1.2

Factor $x$ out of $6 x^{2}$ .

$\frac{x}{x \cdot x^{2} + x (6 x) - 8 x}$

Step 1.3

Factor $x$ out of $- 8 x$ .

$\frac{x}{x \cdot x^{2} + x (6 x) + x \cdot - 8}$

Step 1.4

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

$\frac{x}{x (x^{2} + 6 x) + x \cdot - 8}$

Step 1.5

Factor $x$ out of $x (x^{2} + 6 x) + x \cdot - 8$ .

$\frac{x}{x (x^{2} + 6 x - 8)}$

$\frac{x}{x (x^{2} + 6 x - 8)}$

Step 2

Cancel the common factor of $x$ .

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Step 2.1

Cancel the common factor.

$\frac{x}{x (x^{2} + 6 x - 8)}$

Step 2.2

Rewrite the expression.

$\frac{1}{x^{2} + 6 x - 8}$

$\frac{1}{x^{2} + 6 x - 8}$

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