Trigonometry Examples

$4 i (2 - i)$

Step 1

Apply the distributive property.

$4 i \cdot 2 + 4 i (- i)$

Step 2

Multiply $2$ by $4$ .

$8 i + 4 i (- i)$

Step 3

Multiply $4 i (- i)$ .

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Step 3.1

Multiply $- 1$ by $4$ .

$8 i - 4 i i$

Step 3.2

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

$8 i - 4 (i^{1} i)$

Step 3.3

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

$8 i - 4 (i^{1} i^{1})$

Step 3.4

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

$8 i - 4 i^{1 + 1}$

Step 3.5

Add $1$ and $1$ .

$8 i - 4 i^{2}$

Step 4

Simplify each term.

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Step 4.1

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

$8 i - 4 \cdot - 1$

Step 4.2

Multiply $- 4$ by $- 1$ .

$8 i + 4$

Step 5

Reorder $8 i$ and $4$ .

$4 + 8 i$