Simplify (8+20i)-(-8+12i)

$(8 + 20 i) - (- 8 + 12 i)$

Step 1

Simplify each term.

Apply the distributive property.

$8 + 20 i - - 8 - (12 i)$

Multiply $- 1$ by $- 8$ .

$8 + 20 i + 8 - (12 i)$

Multiply $12$ by $- 1$ .

$8 + 20 i + 8 - 12 i$

$8 + 20 i + 8 - 12 i$

Step 2

Simplify by adding terms.

Add $8$ and $8$ .

$16 + 20 i - 12 i$

Subtract $12 i$ from $20 i$ .

$16 + 8 i$

$16 + 8 i$

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