Simplify 3i(1-2i)

$3 i (1 - 2 i)$

Step 1

Apply the distributive property.

$3 i \cdot 1 + 3 i (- 2 i)$

Step 2

Multiply $3$ by $1$ .

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

Step 3

Multiply $3 i (- 2 i)$ .

Multiply $- 2$ by $3$ .

$3 i - 6 i i$

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

$3 i - 6 (i^{1} i)$

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

$3 i - 6 (i^{1} i^{1})$

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

$3 i - 6 i^{1 + 1}$

Add $1$ and $1$ .

$3 i - 6 i^{2}$

Step 4

Simplify each term.

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

$3 i - 6 \cdot - 1$

Multiply $- 6$ by $- 1$ .

$3 i + 6$

Step 5

Reorder $3 i$ and $6$ .

$6 + 3 i$