Simplify (5-6i)-(7-8i)

$(5 - 6 i) - (7 - 8 i)$

Step 1

Simplify each term.

Apply the distributive property.

$5 - 6 i - 1 \cdot 7 - (- 8 i)$

Multiply $- 1$ by $7$ .

$5 - 6 i - 7 - (- 8 i)$

Multiply $- 8$ by $- 1$ .

$5 - 6 i - 7 + 8 i$

$5 - 6 i - 7 + 8 i$

Step 2

Simplify by adding terms.

Subtract $7$ from $5$ .

$- 2 - 6 i + 8 i$

Add $- 6 i$ and $8 i$ .

$- 2 + 2 i$

$- 2 + 2 i$

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