Trigonometry Examples

$\frac{8 m^{3} + 8 m^{2} + 12 m}{2 m^{2}}$

Step 1

Factor $4 m$ out of $8 m^{3} + 8 m^{2} + 12 m$ .

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Step 1.1

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

$\frac{4 m (2 m^{2}) + 8 m^{2} + 12 m}{2 m^{2}}$

Step 1.2

Factor $4 m$ out of $8 m^{2}$ .

$\frac{4 m (2 m^{2}) + 4 m (2 m) + 12 m}{2 m^{2}}$

Step 1.3

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

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

Step 1.4

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

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

Step 1.5

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

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

Step 2

Cancel the common factor of $4$ and $2$ .

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Step 2.1

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

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

Step 3

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

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Step 3.1

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

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

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

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

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