Pre-Algebra Examples

$\frac{m^{2} - 9 m}{9 - m}$

Step 1

Factor $m$ out of $m^{2} - 9 m$ .

Tap for more steps...

Step 1.1

Factor $m$ out of $m^{2}$ .

$\frac{m \cdot m - 9 m}{9 - m}$

Step 1.2

Factor $m$ out of $- 9 m$ .

$\frac{m \cdot m + m \cdot - 9}{9 - m}$

Step 1.3

Factor $m$ out of $m \cdot m + m \cdot - 9$ .

$\frac{m (m - 9)}{9 - m}$

$\frac{m (m - 9)}{9 - m}$

Step 2

Cancel the common factor of $m - 9$ and $9 - m$ .

Tap for more steps...

Step 2.1

Factor $- 1$ out of $m$ .

$\frac{m (- 1 (- m) - 9)}{9 - m}$

Step 2.2

Rewrite $- 9$ as $- 1 (9)$ .

$\frac{m (- 1 (- m) - 1 (9))}{9 - m}$

Step 2.3

Factor $- 1$ out of $- 1 (- m) - 1 (9)$ .

$\frac{m (- 1 (- m + 9))}{9 - m}$

Step 2.4

Reorder terms.

$\frac{m (- 1 (- m + 9))}{- m + 9}$

Step 2.5

Cancel the common factor.

$\frac{m (- 1 (- m + 9))}{- m + 9}$

Step 2.6

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

$m \cdot (- 1)$

$m \cdot (- 1)$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Move $- 1$ to the left of $m$ .

$- 1 m$

Step 3.2

Rewrite $- 1 m$ as $- m$ .

$- m$

$- m$

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