Simplify i(2+i)

$i (2 + i)$

Step 1

Apply the distributive property.

$i \cdot 2 + i i$

Step 2

Move $2$ to the left of $i$ .

$2 \cdot i + i i$

Step 3

Multiply $i i$ .

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

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

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

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

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

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

Add $1$ and $1$ .

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

Step 4

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

$2 i - 1$

Step 5

Reorder $2 i$ and $- 1$ .

$- 1 + 2 i$