Precalculus Examples

\frac{2}{4 x - 8}

$\frac{2}{4 x - 8}$

Step 1

Factor

4

$4$ out of

4 x - 8

$4 x - 8$ .

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Step 1.1

Factor

4

$4$ out of

4 x

$4 x$ .

\frac{2}{4 (x) - 8}

$\frac{2}{4 (x) - 8}$

Step 1.2

Factor

4

$4$ out of

- 8

$- 8$ .

\frac{2}{4 x + 4 \cdot - 2}

$\frac{2}{4 x + 4 \cdot - 2}$

Step 1.3

Factor

4

$4$ out of

4 x + 4 \cdot - 2

$4 x + 4 \cdot - 2$ .

\frac{2}{4 (x - 2)}

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

\frac{2}{4 (x - 2)}

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

Step 2

Reduce the expression

\frac{2}{4 (x - 2)}

$\frac{2}{4 (x - 2)}$ by cancelling the common factors.

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Step 2.1

Factor

2

$2$ out of

2

$2$ .

\frac{2 (1)}{4 (x - 2)}

$\frac{2 (1)}{4 (x - 2)}$

Step 2.2

Factor

2

$2$ out of

4 (x - 2)

$4 (x - 2)$ .

\frac{2 (1)}{2 (2 (x - 2))}

$\frac{2 (1)}{2 (2 (x - 2))}$

Step 2.3

Cancel the common factor.

$\frac{2 \cdot 1}{2 (2 (x - 2))}$

Step 2.4

Rewrite the expression.

$\frac{1}{2 (x - 2)}$

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