Finite Math Examples

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

Step 1

Combine the opposite terms in $\frac{8 x}{x - 2} - \frac{2 x - 4}{2 - x} - \frac{8 x}{x - 2}$ .

Tap for more steps...

Step 1.1

Subtract $\frac{8 x}{x - 2}$ from $\frac{8 x}{x - 2}$ .

$0 - \frac{2 x - 4}{2 - x}$

Step 1.2

Subtract $\frac{2 x - 4}{2 - x}$ from $0$ .

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

Step 2

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

Tap for more steps...

Step 2.1

Factor $2$ out of $2 x$ .

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

Step 2.2

Factor $2$ out of $- 4$ .

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

Step 2.3

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

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

Step 3

Cancel the common factor of $x - 2$ and $2 - x$ .

Tap for more steps...

Step 3.1

Factor $- 1$ out of $x$ .

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

Step 3.2

Rewrite $- 2$ as $- 1 (2)$ .

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

Step 3.3

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

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

Step 3.4

Reorder terms.

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

Step 3.5

Cancel the common factor.

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

Step 3.6

Divide $2 \cdot (- 1)$ by $1$ .

$- (2 \cdot (- 1))$

Step 4

Multiply $- (2 \cdot (- 1))$ .

Tap for more steps...

Step 4.1

Multiply $2$ by $- 1$ .

$- - 2$

Step 4.2

Multiply $- 1$ by $- 2$ .

$2$