Algebra Examples

$\frac{6 k^{2} m - 12 k^{3} m^{2} + 9 m^{3}}{2 (k m^{2})}$

Step 1

Factor $3 m$ out of $6 k^{2} m - 12 k^{3} m^{2} + 9 m^{3}$ .

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Step 1.1

Factor $3 m$ out of $6 k^{2} m$ .

$\frac{3 m (2 k^{2}) - 12 k^{3} m^{2} + 9 m^{3}}{2 k m^{2}}$

Step 1.2

Factor $3 m$ out of $- 12 k^{3} m^{2}$ .

$\frac{3 m (2 k^{2}) + 3 m (- 4 k^{3} m) + 9 m^{3}}{2 k m^{2}}$

Step 1.3

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

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

Step 1.4

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

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

Step 1.5

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

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

Step 2

Cancel the common factor of $m$ and $m^{2}$ .

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Step 2.1

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

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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