Trigonometry Examples

$\frac{5 m^{2} + 5 m}{15 m^{2} + 25 m}$

Step 1

Factor $5 m$ out of $5 m^{2} + 5 m$ .

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Step 1.1

Factor $5 m$ out of $5 m^{2}$ .

$\frac{5 m (m) + 5 m}{15 m^{2} + 25 m}$

Step 1.2

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

$\frac{5 m (m) + 5 m (1)}{15 m^{2} + 25 m}$

Step 1.3

Factor $5 m$ out of $5 m (m) + 5 m (1)$ .

$\frac{5 m (m + 1)}{15 m^{2} + 25 m}$

$\frac{5 m (m + 1)}{15 m^{2} + 25 m}$

Step 2

Factor $5 m$ out of $15 m^{2} + 25 m$ .

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Step 2.1

Factor $5 m$ out of $15 m^{2}$ .

$\frac{5 m (m + 1)}{5 m (3 m) + 25 m}$

Step 2.2

Factor $5 m$ out of $25 m$ .

$\frac{5 m (m + 1)}{5 m (3 m) + 5 m (5)}$

Step 2.3

Factor $5 m$ out of $5 m (3 m) + 5 m (5)$ .

$\frac{5 m (m + 1)}{5 m (3 m + 5)}$

$\frac{5 m (m + 1)}{5 m (3 m + 5)}$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Cancel the common factor.

$\frac{5 m (m + 1)}{5 m (3 m + 5)}$

Step 3.2

Rewrite the expression.

$\frac{m (m + 1)}{m (3 m + 5)}$

$\frac{m (m + 1)}{m (3 m + 5)}$

Step 4

Cancel the common factor of $m$ .

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Step 4.1

Cancel the common factor.

$\frac{m (m + 1)}{m (3 m + 5)}$

Step 4.2

Rewrite the expression.

$\frac{m + 1}{3 m + 5}$

$\frac{m + 1}{3 m + 5}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$