Simplify (-1+i)-(7-5i)

$(- 1 + i) - (7 - 5 i)$

Step 1

Simplify each term.

Apply the distributive property.

$- 1 + i - 1 \cdot 7 - (- 5 i)$

Multiply $- 1$ by $7$ .

$- 1 + i - 7 - (- 5 i)$

Multiply $- 5$ by $- 1$ .

$- 1 + i - 7 + 5 i$

$- 1 + i - 7 + 5 i$

Step 2

Simplify by adding terms.

Subtract $7$ from $- 1$ .

$- 8 + i + 5 i$

Add $i$ and $5 i$ .

$- 8 + 6 i$

$- 8 + 6 i$

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