Pre-Algebra Examples

$\frac{8 x^{3} + 6 x^{2} - 4 x}{- 2 x}$

Step 1

Factor $2 x$ out of $8 x^{3} + 6 x^{2} - 4 x$ .

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Step 1.1

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

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

Step 1.2

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

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

Step 1.3

Factor $2 x$ out of $- 4 x$ .

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

Step 1.4

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

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

Step 1.5

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

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

Step 2

Cancel the common factor of $2$ and $- 2$ .

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Step 2.1

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

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

Step 3

Cancel the common factor of $x$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

$\frac{4 x^{2} + 3 x - 2}{- 1}$

Step 3.3

Move the negative one from the denominator of $\frac{4 x^{2} + 3 x - 2}{- 1}$ .

$- 1 \cdot (4 x^{2} + 3 x - 2)$

Step 4

Rewrite $- 1 \cdot (4 x^{2} + 3 x - 2)$ as $- (4 x^{2} + 3 x - 2)$ .

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

Step 5

Apply the distributive property.

$- (4 x^{2}) - (3 x) - - 2$

Step 6

Simplify.

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Step 6.1

Multiply $4$ by $- 1$ .

$- 4 x^{2} - (3 x) - - 2$

Step 6.2

Multiply $3$ by $- 1$ .

$- 4 x^{2} - 3 x - - 2$

Step 6.3

Multiply $- 1$ by $- 2$ .

$- 4 x^{2} - 3 x + 2$