Simplify (11-6i)-(-4+12i)

$(11 - 6 i) - (- 4 + 12 i)$

Step 1

Simplify each term.

Apply the distributive property.

$11 - 6 i - - 4 - (12 i)$

Multiply $- 1$ by $- 4$ .

$11 - 6 i + 4 - (12 i)$

Multiply $12$ by $- 1$ .

$11 - 6 i + 4 - 12 i$

$11 - 6 i + 4 - 12 i$

Step 2

Simplify by adding terms.

Add $11$ and $4$ .

$15 - 6 i - 12 i$

Subtract $12 i$ from $- 6 i$ .

$15 - 18 i$

$15 - 18 i$

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