Precalculus Examples

$\frac{m - 8}{4 m} \cdot \frac{4 m^{2} - 12 m}{m - 8}$

Step 1

Factor $4 m$ out of $4 m^{2} - 12 m$ .

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Step 1.1

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

$\frac{m - 8}{4 m} \cdot \frac{4 m (m) - 12 m}{m - 8}$

Step 1.2

Factor $4 m$ out of $- 12 m$ .

$\frac{m - 8}{4 m} \cdot \frac{4 m (m) + 4 m (- 3)}{m - 8}$

Step 1.3

Factor $4 m$ out of $4 m (m) + 4 m (- 3)$ .

$\frac{m - 8}{4 m} \cdot \frac{4 m (m - 3)}{m - 8}$

Step 2

Cancel the common factor of $m - 8$ .

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Step 2.1

Cancel the common factor.

$\frac{m - 8}{4 m} \cdot \frac{4 m (m - 3)}{m - 8}$

Step 2.2

Rewrite the expression.

$\frac{1}{4 m} \cdot (4 m (m - 3))$

Step 3

Cancel the common factor of $4 m$ .

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Step 3.1

Cancel the common factor.

$\frac{1}{4 m} \cdot (4 m (m - 3))$

Step 3.2

Rewrite the expression.

$m - 3$