Simplify (2-2i)-(3+4i)

$(2 - 2 i) - (3 + 4 i)$

Step 1

Simplify each term.

Apply the distributive property.

$2 - 2 i - 1 \cdot 3 - (4 i)$

Multiply $- 1$ by $3$ .

$2 - 2 i - 3 - (4 i)$

Multiply $4$ by $- 1$ .

$2 - 2 i - 3 - 4 i$

$2 - 2 i - 3 - 4 i$

Step 2

Simplify by adding terms.

Subtract $3$ from $2$ .

$- 1 - 2 i - 4 i$

Subtract $4 i$ from $- 2 i$ .

$- 1 - 6 i$

$- 1 - 6 i$

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