Simplify (12+5i)-(2-i)

$(12 + 5 i) - (2 - i)$

Step 1

Simplify each term.

Apply the distributive property.

$12 + 5 i - 1 \cdot 2 - - i$

Multiply $- 1$ by $2$ .

$12 + 5 i - 2 - - i$

Multiply $- 1$ by $- 1$ .

$12 + 5 i - 2 + 1 i$

Multiply $i$ by $1$ .

$12 + 5 i - 2 + i$

$12 + 5 i - 2 + i$

Step 2

Simplify by adding terms.

Subtract $2$ from $12$ .

$10 + 5 i + i$

Add $5 i$ and $i$ .

$10 + 6 i$

$10 + 6 i$

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