Trigonometry Examples

$\frac{12 v^{2} - 12 v}{30 v^{2} - 24 v}$

Step 1

Factor $12 v$ out of $12 v^{2} - 12 v$ .

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Step 1.1

Factor $12 v$ out of $12 v^{2}$ .

$\frac{12 v (v) - 12 v}{30 v^{2} - 24 v}$

Step 1.2

Factor $12 v$ out of $- 12 v$ .

$\frac{12 v (v) + 12 v (- 1)}{30 v^{2} - 24 v}$

Step 1.3

Factor $12 v$ out of $12 v (v) + 12 v (- 1)$ .

$\frac{12 v (v - 1)}{30 v^{2} - 24 v}$

$\frac{12 v (v - 1)}{30 v^{2} - 24 v}$

Step 2

Factor $6 v$ out of $30 v^{2} - 24 v$ .

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Step 2.1

Factor $6 v$ out of $30 v^{2}$ .

$\frac{12 v (v - 1)}{6 v (5 v) - 24 v}$

Step 2.2

Factor $6 v$ out of $- 24 v$ .

$\frac{12 v (v - 1)}{6 v (5 v) + 6 v (- 4)}$

Step 2.3

Factor $6 v$ out of $6 v (5 v) + 6 v (- 4)$ .

$\frac{12 v (v - 1)}{6 v (5 v - 4)}$

$\frac{12 v (v - 1)}{6 v (5 v - 4)}$

Step 3

Cancel the common factor of $12$ and $6$ .

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Step 3.1

Factor $6$ out of $12 v (v - 1)$ .

$\frac{6 (2 v (v - 1))}{6 v (5 v - 4)}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $6$ out of $6 v (5 v - 4)$ .

$\frac{6 (2 v (v - 1))}{6 (v (5 v - 4))}$

Step 3.2.2

Cancel the common factor.

$\frac{6 (2 v (v - 1))}{6 (v (5 v - 4))}$

Step 3.2.3

Rewrite the expression.

$\frac{2 v (v - 1)}{v (5 v - 4)}$

$\frac{2 v (v - 1)}{v (5 v - 4)}$

$\frac{2 v (v - 1)}{v (5 v - 4)}$

Step 4

Cancel the common factor of $v$ .

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Step 4.1

Cancel the common factor.

$\frac{2 v (v - 1)}{v (5 v - 4)}$

Step 4.2

Rewrite the expression.

$\frac{2 (v - 1)}{5 v - 4}$

$\frac{2 (v - 1)}{5 v - 4}$

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