Simplify (-7+3i)-(2-6i)

$(- 7 + 3 i) - (2 - 6 i)$

Step 1

Simplify each term.

Apply the distributive property.

$- 7 + 3 i - 1 \cdot 2 - (- 6 i)$

Multiply $- 1$ by $2$ .

$- 7 + 3 i - 2 - (- 6 i)$

Multiply $- 6$ by $- 1$ .

$- 7 + 3 i - 2 + 6 i$

$- 7 + 3 i - 2 + 6 i$

Step 2

Simplify by adding terms.

Subtract $2$ from $- 7$ .

$- 9 + 3 i + 6 i$

Add $3 i$ and $6 i$ .

$- 9 + 9 i$

$- 9 + 9 i$

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