Simplify 8+9i+(5-9i)-(8-7i)

$8 + 9 i + (5 - 9 i) - (8 - 7 i)$

Step 1

Remove parentheses.

$8 + 9 i + 5 - 9 i - (8 - 7 i)$

Step 2

Simplify each term.

Apply the distributive property.

$8 + 9 i + 5 - 9 i - 1 \cdot 8 - (- 7 i)$

Multiply $- 1$ by $8$ .

$8 + 9 i + 5 - 9 i - 8 - (- 7 i)$

Multiply $- 7$ by $- 1$ .

$8 + 9 i + 5 - 9 i - 8 + 7 i$

$8 + 9 i + 5 - 9 i - 8 + 7 i$

Step 3

Simplify by adding terms.

Add $8$ and $5$ .

$13 + 9 i - 9 i - 8 + 7 i$

Subtract $8$ from $13$ .

$5 + 9 i - 9 i + 7 i$

Subtract $9 i$ from $9 i$ .

$5 + 0 + 7 i$

Add $5$ and $0$ .

$5 + 7 i$

$5 + 7 i$

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