Simplify (6+7i)-(4+3i)

$(6 + 7 i) - (4 + 3 i)$

Step 1

Simplify each term.

Apply the distributive property.

$6 + 7 i - 1 \cdot 4 - (3 i)$

Multiply $- 1$ by $4$ .

$6 + 7 i - 4 - (3 i)$

Multiply $3$ by $- 1$ .

$6 + 7 i - 4 - 3 i$

$6 + 7 i - 4 - 3 i$

Step 2

Simplify by adding terms.

Subtract $4$ from $6$ .

$2 + 7 i - 3 i$

Subtract $3 i$ from $7 i$ .

$2 + 4 i$

$2 + 4 i$

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