Trigonometry Examples

$v (\frac{2 - v \cdot 2}{2})$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $2$ by $- 1$ .

$v \frac{2 - 2 v}{2}$

Step 1.2

Factor $2$ out of $2 - 2 v$ .

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Step 1.2.1

Factor $2$ out of $2$ .

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

Step 1.2.2

Factor $2$ out of $- 2 v$ .

$v \frac{2 (1) + 2 (- v)}{2}$

Step 1.2.3

Factor $2$ out of $2 (1) + 2 (- v)$ .

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

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

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

Step 2

Simplify terms.

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Step 2.1

Cancel the common factor of $2$ .

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Step 2.1.1

Cancel the common factor.

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

Step 2.1.2

Divide $1 - v$ by $1$ .

$v (1 - v)$

$v (1 - v)$

Step 2.2

Apply the distributive property.

$v \cdot 1 + v (- v)$

Step 2.3

Simplify the expression.

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Step 2.3.1

Multiply $v$ by $1$ .

$v + v (- v)$

Step 2.3.2

Rewrite using the commutative property of multiplication.

$v - v \cdot v$

$v - v \cdot v$

$v - v \cdot v$

Step 3

Multiply $v$ by $v$ by adding the exponents.

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Step 3.1

Move $v$ .

$v - (v \cdot v)$

Step 3.2

Multiply $v$ by $v$ .

$v - v^{2}$

$v - v^{2}$

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