Trigonometry Examples

$\frac{5 m^{9} + 15 m^{5} + 40 m}{10 m}$

Step 1

Factor $5 m$ out of $5 m^{9} + 15 m^{5} + 40 m$ .

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Step 1.1

Factor $5 m$ out of $5 m^{9}$ .

$\frac{5 m (m^{8}) + 15 m^{5} + 40 m}{10 m}$

Step 1.2

Factor $5 m$ out of $15 m^{5}$ .

$\frac{5 m (m^{8}) + 5 m (3 m^{4}) + 40 m}{10 m}$

Step 1.3

Factor $5 m$ out of $40 m$ .

$\frac{5 m (m^{8}) + 5 m (3 m^{4}) + 5 m (8)}{10 m}$

Step 1.4

Factor $5 m$ out of $5 m (m^{8}) + 5 m (3 m^{4})$ .

$\frac{5 m (m^{8} + 3 m^{4}) + 5 m (8)}{10 m}$

Step 1.5

Factor $5 m$ out of $5 m (m^{8} + 3 m^{4}) + 5 m (8)$ .

$\frac{5 m (m^{8} + 3 m^{4} + 8)}{10 m}$

Step 2

Cancel the common factor of $5$ and $10$ .

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Step 2.1

Factor $5$ out of $5 m (m^{8} + 3 m^{4} + 8)$ .

$\frac{5 (m (m^{8} + 3 m^{4} + 8))}{10 m}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $5$ out of $10 m$ .

$\frac{5 (m (m^{8} + 3 m^{4} + 8))}{5 (2 m)}$

Step 2.2.2

Cancel the common factor.

$\frac{5 (m (m^{8} + 3 m^{4} + 8))}{5 (2 m)}$

Step 2.2.3

Rewrite the expression.

$\frac{m (m^{8} + 3 m^{4} + 8)}{2 m}$

Step 3

Cancel the common factor of $m$ .

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Step 3.1

Cancel the common factor.

$\frac{m (m^{8} + 3 m^{4} + 8)}{2 m}$

Step 3.2

Rewrite the expression.

$\frac{m^{8} + 3 m^{4} + 8}{2}$