Simplify (-3+5i)-(7+9i)

$(- 3 + 5 i) - (7 + 9 i)$

Step 1

Simplify each term.

Apply the distributive property.

$- 3 + 5 i - 1 \cdot 7 - (9 i)$

Multiply $- 1$ by $7$ .

$- 3 + 5 i - 7 - (9 i)$

Multiply $9$ by $- 1$ .

$- 3 + 5 i - 7 - 9 i$

$- 3 + 5 i - 7 - 9 i$

Step 2

Simplify by adding terms.

Subtract $7$ from $- 3$ .

$- 10 + 5 i - 9 i$

Subtract $9 i$ from $5 i$ .

$- 10 - 4 i$

$- 10 - 4 i$

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