Pre-Algebra Examples

$\frac{8 x^{5} - 2 x + 6}{2 x}$

Step 1

Cancel the common factor of $8 x^{5} - 2 x + 6$ and $2$ .

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Step 1.1

Factor $2$ out of $8 x^{5}$ .

$\frac{2 (4 x^{5}) - 2 x + 6}{2 x}$

Step 1.2

Factor $2$ out of $- 2 x$ .

$\frac{2 (4 x^{5}) + 2 (- x) + 6}{2 x}$

Step 1.3

Factor $2$ out of $2 (4 x^{5}) + 2 (- x)$ .

$\frac{2 (4 x^{5} - x) + 6}{2 x}$

Step 1.4

Factor $2$ out of $6$ .

$\frac{2 (4 x^{5} - x) + 2 \cdot 3}{2 x}$

Step 1.5

Factor $2$ out of $2 (4 x^{5} - x) + 2 (3)$ .

$\frac{2 (4 x^{5} - x + 3)}{2 x}$

Step 1.6

Cancel the common factors.

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Step 1.6.1

Factor $2$ out of $2 x$ .

$\frac{2 (4 x^{5} - x + 3)}{2 (x)}$

Step 1.6.2

Cancel the common factor.

$\frac{2 (4 x^{5} - x + 3)}{2 x}$

Step 1.6.3

Rewrite the expression.

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

Step 2

Split the fraction $\frac{4 x^{5} - x + 3}{x}$ into two fractions.

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

Step 3

Split the fraction $\frac{4 x^{5} - x}{x}$ into two fractions.

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

Step 4

Cancel the common factor of $x^{5}$ and $x$ .

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Step 4.1

Factor $x$ out of $4 x^{5}$ .

$\frac{x (4 x^{4})}{x} + \frac{- x}{x} + \frac{3}{x}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

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

$\frac{x (4 x^{4})}{x^{1}} + \frac{- x}{x} + \frac{3}{x}$

Step 4.2.2

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

$\frac{x (4 x^{4})}{x \cdot 1} + \frac{- x}{x} + \frac{3}{x}$

Step 4.2.3

Cancel the common factor.

$\frac{x (4 x^{4})}{x \cdot 1} + \frac{- x}{x} + \frac{3}{x}$

Step 4.2.4

Rewrite the expression.

$\frac{4 x^{4}}{1} + \frac{- x}{x} + \frac{3}{x}$

Step 4.2.5

Divide $4 x^{4}$ by $1$ .

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

Step 5

Cancel the common factor of $x$ .

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Step 5.1

Cancel the common factor.

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

Step 5.2

Divide $- 1$ by $1$ .

$4 x^{4} - 1 + \frac{3}{x}$