Simplify (9+7i)-(6-2i)

$(9 + 7 i) - (6 - 2 i)$

Step 1

Simplify each term.

Apply the distributive property.

$9 + 7 i - 1 \cdot 6 - (- 2 i)$

Multiply $- 1$ by $6$ .

$9 + 7 i - 6 - (- 2 i)$

Multiply $- 2$ by $- 1$ .

$9 + 7 i - 6 + 2 i$

$9 + 7 i - 6 + 2 i$

Step 2

Simplify by adding terms.

Subtract $6$ from $9$ .

$3 + 7 i + 2 i$

Add $7 i$ and $2 i$ .

$3 + 9 i$

$3 + 9 i$

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