Pre-Algebra Examples

$\frac{- 4 x}{x^{3} - 8 x} + \frac{5 x}{x^{3} - 8 x}$

Step 1

Combine the numerators over the common denominator.

$\frac{- 4 x + 5 x}{x^{3} - 8 x}$

Step 2

Add $- 4 x$ and $5 x$ .

$\frac{x}{x^{3} - 8 x}$

Step 3

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

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Step 3.1

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

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

Step 3.2

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

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

Step 3.3

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

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

Step 4

Cancel the common factor of $x$ .

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Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

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