Pre-Algebra Examples

$\frac{12 x^{2} - 3 x}{x}$

Step 1

Factor $3 x$ out of $12 x^{2} - 3 x$ .

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Step 1.1

Factor $3 x$ out of $12 x^{2}$ .

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

Step 1.2

Factor $3 x$ out of $- 3 x$ .

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

Step 1.3

Factor $3 x$ out of $3 x (4 x) + 3 x (- 1)$ .

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

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

Step 2

Cancel the common factor of $x$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Divide $3 (4 x - 1)$ by $1$ .

$3 (4 x - 1)$

$3 (4 x - 1)$

Step 3

Apply the distributive property.

$3 (4 x) + 3 \cdot - 1$

Step 4

Multiply $4$ by $3$ .

$12 x + 3 \cdot - 1$

Step 5

Multiply $3$ by $- 1$ .

$12 x - 3$

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