Simplify (4-12i)-(-8+4i)

$(4 - 12 i) - (- 8 + 4 i)$

Step 1

Simplify each term.

Apply the distributive property.

$4 - 12 i - - 8 - (4 i)$

Multiply $- 1$ by $- 8$ .

$4 - 12 i + 8 - (4 i)$

Multiply $4$ by $- 1$ .

$4 - 12 i + 8 - 4 i$

$4 - 12 i + 8 - 4 i$

Step 2

Simplify by adding terms.

Add $4$ and $8$ .

$12 - 12 i - 4 i$

Subtract $4 i$ from $- 12 i$ .

$12 - 16 i$

$12 - 16 i$

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