Algebra Examples

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

Step 1

Rewrite $4$ as $2^{2}$ .

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

Step 2

Pull terms out from under the radical, assuming positive real numbers.

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

Step 3

Factor $2$ out of $2 - 2 x$ .

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Step 3.1

Factor $2$ out of $2$ .

$\frac{2 (1) - 2 x}{4 x - 8}$

Step 3.2

Factor $2$ out of $- 2 x$ .

$\frac{2 (1) + 2 (- x)}{4 x - 8}$

Step 3.3

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

$\frac{2 (1 - x)}{4 x - 8}$

Step 4

Factor $4$ out of $4 x - 8$ .

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Step 4.1

Factor $4$ out of $4 x$ .

$\frac{2 (1 - x)}{4 (x) - 8}$

Step 4.2

Factor $4$ out of $- 8$ .

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

Step 4.3

Factor $4$ out of $4 x + 4 \cdot - 2$ .

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

Step 5

Reduce the expression $\frac{2 (1 - x)}{4 (x - 2)}$ by cancelling the common factors.

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Step 5.1

Factor $2$ out of $4 (x - 2)$ .

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

Step 5.2

Cancel the common factor.

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

Step 5.3

Rewrite the expression.

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