Simplify 2+i-(3-2i)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $- 1$ by $3$ .

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

Multiply $- 2$ by $- 1$ .

$2 + i - 3 + 2 i$

$2 + i - 3 + 2 i$

Step 2

Simplify by adding terms.

Subtract $3$ from $2$ .

$- 1 + i + 2 i$

Add $i$ and $2 i$ .

$- 1 + 3 i$

$- 1 + 3 i$

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