Simplify (2m^2-4m)/(2(m-2))

$\frac{2 m^{2} - 4 m}{2 (m - 2)}$

Step 1

Factor $2 m$ out of $2 m^{2} - 4 m$ .

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

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

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

$\frac{2 m (m) + 2 m (- 2)}{2 (m - 2)}$

Factor $2 m$ out of $2 m (m) + 2 m (- 2)$ .

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

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

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 3

Cancel the common factor of $m - 2$ .

Cancel the common factor.

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

Divide $m$ by $1$ .

$m$

$m$

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