Precalculus Examples

$\frac{12 - 4 x}{x - 3}$

Step 1

Factor $4$ out of $12 - 4 x$ .

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Step 1.1

Factor $4$ out of $12$ .

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

Step 1.2

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

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

Step 1.3

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

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

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

Step 2

Cancel the common factor of $3 - x$ and $x - 3$ .

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Step 2.1

Rewrite $3$ as $- 1 (- 3)$ .

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

Step 2.2

Factor $- 1$ out of $- x$ .

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

Step 2.3

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

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

Step 2.4

Reorder terms.

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

Step 2.5

Cancel the common factor.

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

Step 2.6

Divide $4 \cdot (- 1)$ by $1$ .

$4 \cdot (- 1)$

$4 \cdot (- 1)$

Step 3

Multiply $4$ by $- 1$ .

$- 4$

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