Simplify (-8+8i)-(5+4i)

$(- 8 + 8 i) - (5 + 4 i)$

Step 1

Simplify each term.

Apply the distributive property.

$- 8 + 8 i - 1 \cdot 5 - (4 i)$

Multiply $- 1$ by $5$ .

$- 8 + 8 i - 5 - (4 i)$

Multiply $4$ by $- 1$ .

$- 8 + 8 i - 5 - 4 i$

$- 8 + 8 i - 5 - 4 i$

Step 2

Simplify by adding terms.

Subtract $5$ from $- 8$ .

$- 13 + 8 i - 4 i$

Subtract $4 i$ from $8 i$ .

$- 13 + 4 i$

$- 13 + 4 i$

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