Simplify 8+5i+(10+6i)-(3+6i)

$8 + 5 i + (10 + 6 i) - (3 + 6 i)$

Step 1

Remove parentheses.

$8 + 5 i + 10 + 6 i - (3 + 6 i)$

Step 2

Simplify each term.

Apply the distributive property.

$8 + 5 i + 10 + 6 i - 1 \cdot 3 - (6 i)$

Multiply $- 1$ by $3$ .

$8 + 5 i + 10 + 6 i - 3 - (6 i)$

Multiply $6$ by $- 1$ .

$8 + 5 i + 10 + 6 i - 3 - 6 i$

$8 + 5 i + 10 + 6 i - 3 - 6 i$

Step 3

Simplify by adding terms.

Add $8$ and $10$ .

$18 + 5 i + 6 i - 3 - 6 i$

Subtract $3$ from $18$ .

$15 + 5 i + 6 i - 6 i$

Add $5 i$ and $6 i$ .

$15 + 11 i - 6 i$

Subtract $6 i$ from $11 i$ .

$15 + 5 i$

$15 + 5 i$

Related Questions