Pre-Algebra Examples

$(64 x^{3} - 4) \div (4 x - 2)$

Step 1

Rewrite the division as a fraction.

$\frac{64 x^{3} - 4}{4 x - 2}$

Step 2

Cancel the common factor of $64 x^{3} - 4$ and $4 x - 2$ .

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Step 2.1

Factor $2$ out of $64 x^{3}$ .

$\frac{2 (32 x^{3}) - 4}{4 x - 2}$

Step 2.2

Factor $2$ out of $- 4$ .

$\frac{2 (32 x^{3}) + 2 (- 2)}{4 x - 2}$

Step 2.3

Factor $2$ out of $2 (32 x^{3}) + 2 (- 2)$ .

$\frac{2 (32 x^{3} - 2)}{4 x - 2}$

Step 2.4

Cancel the common factors.

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Step 2.4.1

Factor $2$ out of $4 x$ .

$\frac{2 (32 x^{3} - 2)}{2 (2 x) - 2}$

Step 2.4.2

Factor $2$ out of $- 2$ .

$\frac{2 (32 x^{3} - 2)}{2 (2 x) + 2 (- 1)}$

Step 2.4.3

Factor $2$ out of $2 (2 x) + 2 (- 1)$ .

$\frac{2 (32 x^{3} - 2)}{2 (2 x - 1)}$

Step 2.4.4

Cancel the common factor.

$\frac{2 (32 x^{3} - 2)}{2 (2 x - 1)}$

Step 2.4.5

Rewrite the expression.

$\frac{32 x^{3} - 2}{2 x - 1}$

$\frac{32 x^{3} - 2}{2 x - 1}$

$\frac{32 x^{3} - 2}{2 x - 1}$

Step 3

Factor $2$ out of $32 x^{3} - 2$ .

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Step 3.1

Factor $2$ out of $32 x^{3}$ .

$\frac{2 (16 x^{3}) - 2}{2 x - 1}$

Step 3.2

Factor $2$ out of $- 2$ .

$\frac{2 (16 x^{3}) + 2 (- 1)}{2 x - 1}$

Step 3.3

Factor $2$ out of $2 (16 x^{3}) + 2 (- 1)$ .

$\frac{2 (16 x^{3} - 1)}{2 x - 1}$

$\frac{2 (16 x^{3} - 1)}{2 x - 1}$

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