Question

1. $-8i + 6 - (4 - 2i)$
2. $7i + 5i - 3 - 5i$

Explanation:

Problem 2: $-8i + 6 - (4 - 2i)$

Step 1: Distribute the negative sign

We need to distribute the negative sign to the terms inside the parentheses. So, $- (4 - 2i)=-4 + 2i$.
The expression becomes: $-8i + 6 - 4 + 2i$.

Step 2: Combine like - real terms and like - imaginary terms

For real terms: $6-4 = 2$.
For imaginary terms: $-8i+2i=-6i$.

Step 3: Combine the results

Combine the real part and the imaginary part: $2-6i$.

Step 1: Combine like - imaginary terms

First, combine the imaginary terms $7i+5i - 5i$.
$7i+5i=12i$, then $12i - 5i = 7i$.

Step 2: Combine with the real term

The real term is $-3$, so the expression becomes $-3 + 7i$.

Answer:

$2 - 6i$

Problem 4: $7i + 5i - 3 - 5i$