Simplify (4-2i)-(-1+3i)

$(4 - 2 i) - (- 1 + 3 i)$

Step 1

Simplify each term.

Apply the distributive property.

$4 - 2 i - - 1 - (3 i)$

Multiply $- 1$ by $- 1$ .

$4 - 2 i + 1 - (3 i)$

Multiply $3$ by $- 1$ .

$4 - 2 i + 1 - 3 i$

$4 - 2 i + 1 - 3 i$

Step 2

Simplify by adding terms.

Add $4$ and $1$ .

$5 - 2 i - 3 i$

Subtract $3 i$ from $- 2 i$ .

$5 - 5 i$

$5 - 5 i$

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