Pre-Algebra Examples

$\frac{5 x^{3} - 9 x - 2}{x}$

Step 1

Split the fraction $\frac{5 x^{3} - 9 x - 2}{x}$ into two fractions.

$\frac{5 x^{3} - 9 x}{x} + \frac{- 2}{x}$

Step 2

Split the fraction $\frac{5 x^{3} - 9 x}{x}$ into two fractions.

$\frac{5 x^{3}}{x} + \frac{- 9 x}{x} + \frac{- 2}{x}$

Step 3

Cancel the common factor of $x^{3}$ and $x$ .

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Step 3.1

Factor $x$ out of $5 x^{3}$ .

$\frac{x (5 x^{2})}{x} + \frac{- 9 x}{x} + \frac{- 2}{x}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

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

$\frac{x (5 x^{2})}{x^{1}} + \frac{- 9 x}{x} + \frac{- 2}{x}$

Step 3.2.2

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

$\frac{x (5 x^{2})}{x \cdot 1} + \frac{- 9 x}{x} + \frac{- 2}{x}$

Step 3.2.3

Cancel the common factor.

$\frac{x (5 x^{2})}{x \cdot 1} + \frac{- 9 x}{x} + \frac{- 2}{x}$

Step 3.2.4

Rewrite the expression.

$\frac{5 x^{2}}{1} + \frac{- 9 x}{x} + \frac{- 2}{x}$

Step 3.2.5

Divide $5 x^{2}$ by $1$ .

$5 x^{2} + \frac{- 9 x}{x} + \frac{- 2}{x}$

Step 4

Cancel the common factor of $x$ .

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Step 4.1

Cancel the common factor.

$5 x^{2} + \frac{- 9 x}{x} + \frac{- 2}{x}$

Step 4.2

Divide $- 9$ by $1$ .

$5 x^{2} - 9 + \frac{- 2}{x}$

Step 5

Move the negative in front of the fraction.

$5 x^{2} - 9 - \frac{2}{x}$