Simplify (3+i)-(2-2i)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $- 1$ by $2$ .

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

Multiply $- 2$ by $- 1$ .

$3 + i - 2 + 2 i$

$3 + i - 2 + 2 i$

Step 2

Simplify by adding terms.

Subtract $2$ from $3$ .

$1 + i + 2 i$

Add $i$ and $2 i$ .

$1 + 3 i$

$1 + 3 i$

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