Simplify (2-5i)-(8+6i)

$(2 - 5 i) - (8 + 6 i)$

Step 1

Simplify each term.

Apply the distributive property.

$2 - 5 i - 1 \cdot 8 - (6 i)$

Multiply $- 1$ by $8$ .

$2 - 5 i - 8 - (6 i)$

Multiply $6$ by $- 1$ .

$2 - 5 i - 8 - 6 i$

$2 - 5 i - 8 - 6 i$

Step 2

Simplify by adding terms.

Subtract $8$ from $2$ .

$- 6 - 5 i - 6 i$

Subtract $6 i$ from $- 5 i$ .

$- 6 - 11 i$

$- 6 - 11 i$

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