Simplify 2i(3-i)

$2 i (3 - i)$

Step 1

Apply the distributive property.

$2 i \cdot 3 + 2 i (- i)$

Step 2

Multiply $3$ by $2$ .

$6 i + 2 i (- i)$

Step 3

Multiply $2 i (- i)$ .

Multiply $- 1$ by $2$ .

$6 i - 2 i i$

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

$6 i - 2 (i^{1} i)$

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

$6 i - 2 (i^{1} i^{1})$

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

$6 i - 2 i^{1 + 1}$

Add $1$ and $1$ .

$6 i - 2 i^{2}$

Step 4

Simplify each term.

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

$6 i - 2 \cdot - 1$

Multiply $- 2$ by $- 1$ .

$6 i + 2$

Step 5

Reorder $6 i$ and $2$ .

$2 + 6 i$