Basic Math Examples

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

Step 1

Cancel the common factor of $4 a - 2$ and $2 - 4 a$ .

Tap for more steps...

Step 1.1

Factor $2$ out of $4 a$ .

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

Step 1.2

Factor $2$ out of $- 2$ .

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

Step 1.3

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

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

Step 1.4

Cancel the common factors.

Tap for more steps...

Step 1.4.1

Factor $2$ out of $2$ .

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

Step 1.4.2

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

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

Step 1.4.3

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

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

Step 1.4.4

Cancel the common factor.

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

Step 1.4.5

Rewrite the expression.

$\frac{2 a - 1}{1 - 2 a}$

$\frac{2 a - 1}{1 - 2 a}$

$\frac{2 a - 1}{1 - 2 a}$

Step 2

Cancel the common factor of $2 a - 1$ and $1 - 2 a$ .

Tap for more steps...

Step 2.1

Factor $- 1$ out of $2 a$ .

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

Step 2.2

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

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

Step 2.3

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

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

Step 2.4

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

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

Step 2.5

Reorder terms.

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

Step 2.6

Cancel the common factor.

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

Step 2.7

Divide $- 1$ by $1$ .

$- 1$

$- 1$

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