Pre-Algebra Examples

$\frac{4 m^{9} - 8 m^{6} + 24 m^{3}}{- 4 m^{5}}$

Step 1

Factor $4 m^{3}$ out of $4 m^{9} - 8 m^{6} + 24 m^{3}$ .

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Step 1.1

Factor $4 m^{3}$ out of $4 m^{9}$ .

$\frac{4 m^{3} (m^{6}) - 8 m^{6} + 24 m^{3}}{- 4 m^{5}}$

Step 1.2

Factor $4 m^{3}$ out of $- 8 m^{6}$ .

$\frac{4 m^{3} (m^{6}) + 4 m^{3} (- 2 m^{3}) + 24 m^{3}}{- 4 m^{5}}$

Step 1.3

Factor $4 m^{3}$ out of $24 m^{3}$ .

$\frac{4 m^{3} (m^{6}) + 4 m^{3} (- 2 m^{3}) + 4 m^{3} (6)}{- 4 m^{5}}$

Step 1.4

Factor $4 m^{3}$ out of $4 m^{3} (m^{6}) + 4 m^{3} (- 2 m^{3})$ .

$\frac{4 m^{3} (m^{6} - 2 m^{3}) + 4 m^{3} (6)}{- 4 m^{5}}$

Step 1.5

Factor $4 m^{3}$ out of $4 m^{3} (m^{6} - 2 m^{3}) + 4 m^{3} (6)$ .

$\frac{4 m^{3} (m^{6} - 2 m^{3} + 6)}{- 4 m^{5}}$

Step 2

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

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Step 2.1

Factor $4$ out of $4 m^{3} (m^{6} - 2 m^{3} + 6)$ .

$\frac{4 (m^{3} (m^{6} - 2 m^{3} + 6))}{- 4 m^{5}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $- 4 m^{5}$ .

$\frac{4 (m^{3} (m^{6} - 2 m^{3} + 6))}{4 (- m^{5})}$

Step 2.2.2

Cancel the common factor.

$\frac{4 (m^{3} (m^{6} - 2 m^{3} + 6))}{4 (- m^{5})}$

Step 2.2.3

Rewrite the expression.

$\frac{m^{3} (m^{6} - 2 m^{3} + 6)}{- m^{5}}$

Step 3

Cancel the common factors.

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Step 3.1

Factor $m^{3}$ out of $- m^{5}$ .

$\frac{m^{3} (m^{6} - 2 m^{3} + 6)}{m^{3} (- m^{2})}$

Step 3.2

Cancel the common factor.

$\frac{m^{3} (m^{6} - 2 m^{3} + 6)}{m^{3} (- m^{2})}$

Step 3.3

Rewrite the expression.

$\frac{m^{6} - 2 m^{3} + 6}{- m^{2}}$

Step 4

Move the negative in front of the fraction.

$- \frac{m^{6} - 2 m^{3} + 6}{m^{2}}$