Pre-Algebra Examples

$\frac{8 x^{6} - 24 x^{3}}{4 x^{3}}$

Step 1

Factor $8 x^{3}$ out of $8 x^{6} - 24 x^{3}$ .

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Step 1.1

Factor $8 x^{3}$ out of $8 x^{6}$ .

$\frac{8 x^{3} (x^{3}) - 24 x^{3}}{4 x^{3}}$

Step 1.2

Factor $8 x^{3}$ out of $- 24 x^{3}$ .

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

Step 1.3

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

$\frac{8 x^{3} (x^{3} - 3)}{4 x^{3}}$

$\frac{8 x^{3} (x^{3} - 3)}{4 x^{3}}$

Step 2

Cancel the common factor of $8$ and $4$ .

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Step 2.1

Factor $4$ out of $8 x^{3} (x^{3} - 3)$ .

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $4 x^{3}$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

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

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

Step 3

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

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Step 3.1

Cancel the common factor.

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

Step 3.2

Divide $2 (x^{3} - 3)$ by $1$ .

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

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

Step 4

Apply the distributive property.

$2 x^{3} + 2 \cdot - 3$

Step 5

Multiply $2$ by $- 3$ .

$2 x^{3} - 6$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$