Simplify (10+15i)-(48-30i)

$(10 + 15 i) - (48 - 30 i)$

Simplify each term.

Apply the distributive property.

$10 + 15 i - 1 \cdot 48 - (- 30 i)$

Multiply $- 1$ by $48$ .

$10 + 15 i - 48 - (- 30 i)$

Multiply $- 30$ by $- 1$ .

$10 + 15 i - 48 + 30 i$

$10 + 15 i - 48 + 30 i$

Simplify by adding terms.

Subtract $48$ from $10$ .

$- 38 + 15 i + 30 i$

Add $15 i$ and $30 i$ .

$- 38 + 45 i$

$- 38 + 45 i$

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