Simplify (10-4i)-(7+3i)

$(10 - 4 i) - (7 + 3 i)$

Step 1

Simplify each term.

Apply the distributive property.

$10 - 4 i - 1 \cdot 7 - (3 i)$

Multiply $- 1$ by $7$ .

$10 - 4 i - 7 - (3 i)$

Multiply $3$ by $- 1$ .

$10 - 4 i - 7 - 3 i$

$10 - 4 i - 7 - 3 i$

Step 2

Simplify by adding terms.

Subtract $7$ from $10$ .

$3 - 4 i - 3 i$

Subtract $3 i$ from $- 4 i$ .

$3 - 7 i$

$3 - 7 i$

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