Simplify (-1+19i)-(4-i)

$(- 1 + 19 i) - (4 - i)$

Step 1

Simplify each term.

Apply the distributive property.

$- 1 + 19 i - 1 \cdot 4 - - i$

Multiply $- 1$ by $4$ .

$- 1 + 19 i - 4 - - i$

Multiply $- 1$ by $- 1$ .

$- 1 + 19 i - 4 + 1 i$

Multiply $i$ by $1$ .

$- 1 + 19 i - 4 + i$

$- 1 + 19 i - 4 + i$

Step 2

Simplify by adding terms.

Subtract $4$ from $- 1$ .

$- 5 + 19 i + i$

Add $19 i$ and $i$ .

$- 5 + 20 i$

$- 5 + 20 i$

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