Pre-Algebra Examples

$\frac{2 x^{6} - 10 x^{5} + 16}{- 2 x}$

Step 1

Cancel the common factor of $2 x^{6} - 10 x^{5} + 16$ and $- 2$ .

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Step 1.1

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

$\frac{2 (x^{6}) - 10 x^{5} + 16}{- 2 x}$

Step 1.2

Factor $2$ out of $- 10 x^{5}$ .

$\frac{2 (x^{6}) + 2 (- 5 x^{5}) + 16}{- 2 x}$

Step 1.3

Factor $2$ out of $2 (x^{6}) + 2 (- 5 x^{5})$ .

$\frac{2 (x^{6} - 5 x^{5}) + 16}{- 2 x}$

Step 1.4

Factor $2$ out of $16$ .

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

Step 1.5

Factor $2$ out of $2 (x^{6} - 5 x^{5}) + 2 (8)$ .

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

Step 1.6

Cancel the common factors.

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Step 1.6.1

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

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

Step 1.6.2

Cancel the common factor.

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

Step 1.6.3

Rewrite the expression.

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

Step 2

Move the negative in front of the fraction.

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

Step 3

Split the fraction $\frac{x^{6} - 5 x^{5} + 8}{x}$ into two fractions.

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

Step 4

Split the fraction $\frac{x^{6} - 5 x^{5}}{x}$ into two fractions.

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

Step 5

Cancel the common factor of $x^{6}$ and $x$ .

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Step 5.1

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

$- (\frac{x \cdot x^{5}}{x} + \frac{- 5 x^{5}}{x} + \frac{8}{x})$

Step 5.2

Cancel the common factors.

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Step 5.2.1

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

$- (\frac{x \cdot x^{5}}{x^{1}} + \frac{- 5 x^{5}}{x} + \frac{8}{x})$

Step 5.2.2

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

$- (\frac{x \cdot x^{5}}{x \cdot 1} + \frac{- 5 x^{5}}{x} + \frac{8}{x})$

Step 5.2.3

Cancel the common factor.

$- (\frac{x \cdot x^{5}}{x \cdot 1} + \frac{- 5 x^{5}}{x} + \frac{8}{x})$

Step 5.2.4

Rewrite the expression.

$- (\frac{x^{5}}{1} + \frac{- 5 x^{5}}{x} + \frac{8}{x})$

Step 5.2.5

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

$- (x^{5} + \frac{- 5 x^{5}}{x} + \frac{8}{x})$

Step 6

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

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Step 6.1

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

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

Step 6.2

Cancel the common factors.

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Step 6.2.1

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

$- (x^{5} + \frac{x (- 5 x^{4})}{x^{1}} + \frac{8}{x})$

Step 6.2.2

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

$- (x^{5} + \frac{x (- 5 x^{4})}{x \cdot 1} + \frac{8}{x})$

Step 6.2.3

Cancel the common factor.

$- (x^{5} + \frac{x (- 5 x^{4})}{x \cdot 1} + \frac{8}{x})$

Step 6.2.4

Rewrite the expression.

$- (x^{5} + \frac{- 5 x^{4}}{1} + \frac{8}{x})$

Step 6.2.5

Divide $- 5 x^{4}$ by $1$ .

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