Simplify (8-2i)+(13+i)-(1-5i)

$(8 - 2 i) + (13 + i) - (1 - 5 i)$

Step 1

Remove parentheses.

$8 - 2 i + 13 + i - (1 - 5 i)$

Step 2

Simplify each term.

Apply the distributive property.

$8 - 2 i + 13 + i - 1 \cdot 1 - (- 5 i)$

Multiply $- 1$ by $1$ .

$8 - 2 i + 13 + i - 1 - (- 5 i)$

Multiply $- 5$ by $- 1$ .

$8 - 2 i + 13 + i - 1 + 5 i$

$8 - 2 i + 13 + i - 1 + 5 i$

Step 3

Simplify by adding terms.

Add $8$ and $13$ .

$21 - 2 i + i - 1 + 5 i$

Subtract $1$ from $21$ .

$20 - 2 i + i + 5 i$

Add $- 2 i$ and $i$ .

$20 - i + 5 i$

Add $- i$ and $5 i$ .

$20 + 4 i$

$20 + 4 i$

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