Simplify (4+5i)-(8+3i)

$(4 + 5 i) - (8 + 3 i)$

Step 1

Simplify each term.

Apply the distributive property.

$4 + 5 i - 1 \cdot 8 - (3 i)$

Multiply $- 1$ by $8$ .

$4 + 5 i - 8 - (3 i)$

Multiply $3$ by $- 1$ .

$4 + 5 i - 8 - 3 i$

$4 + 5 i - 8 - 3 i$

Step 2

Simplify by adding terms.

Subtract $8$ from $4$ .

$- 4 + 5 i - 3 i$

Subtract $3 i$ from $5 i$ .

$- 4 + 2 i$

$- 4 + 2 i$

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