Trigonometry Examples

$(3 i) {(2 i)}^{2} (m + i)$

Step 1

Apply the product rule to $2 i$ .

$3 i (2^{2} i^{2}) (m + i)$

Step 2

Raise $2$ to the power of $2$ .

$3 i (4 i^{2}) (m + i)$

Step 3

Rewrite $i^{2}$ as $- 1$ .

$3 i (4 \cdot - 1) (m + i)$

Step 4

Multiply.

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Step 4.1

Multiply $4$ by $- 1$ .

$3 i \cdot - 4 (m + i)$

Step 4.2

Multiply $- 4$ by $3$ .

$- 12 i (m + i)$

$- 12 i (m + i)$

Step 5

Apply the distributive property.

$- 12 i m - 12 i i$

Step 6

Multiply $- 12 i i$ .

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Step 6.1

Raise $i$ to the power of $1$ .

$- 12 i m - 12 (i^{1} i)$

Step 6.2

Raise $i$ to the power of $1$ .

$- 12 i m - 12 (i^{1} i^{1})$

Step 6.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- 12 i m - 12 i^{1 + 1}$

Step 6.4

Add $1$ and $1$ .

$- 12 i m - 12 i^{2}$

$- 12 i m - 12 i^{2}$

Step 7

Simplify each term.

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Step 7.1

Rewrite $i^{2}$ as $- 1$ .

$- 12 i m - 12 \cdot - 1$

Step 7.2

Multiply $- 12$ by $- 1$ .

$- 12 i m + 12$

$- 12 i m + 12$

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