Finite Math Examples

$i (12 + 2 i)$

Step 1

Apply the distributive property.

$i \cdot 12 + i (2 i)$

Step 2

Move $12$ to the left of $i$ .

$12 \cdot i + i (2 i)$

Step 3

Multiply $i (2 i)$ .

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Step 3.1

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

$12 \cdot i + 2 (i^{1} i)$

Step 3.2

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

$12 \cdot i + 2 (i^{1} i^{1})$

Step 3.3

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

$12 \cdot i + 2 i^{1 + 1}$

Step 3.4

Add $1$ and $1$ .

$12 \cdot i + 2 i^{2}$

Step 4

Simplify each term.

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Step 4.1

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

$12 i + 2 \cdot - 1$

Step 4.2

Multiply $2$ by $- 1$ .

$12 i - 2$

Step 5

Reorder $12 i$ and $- 2$ .

$- 2 + 12 i$