Question

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

12 - 5i
8 - 15i
8 - 5i
8 + 15i

Explanation:

Step1: Remove parentheses

$(-2 - 3i)-(-4 - 5i)+(6 - 7i)=-2 - 3i + 4+5i + 6 - 7i$

Step2: Combine real - part terms

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

Step3: Combine imaginary - part terms

$-3i + 5i - 7i=(-3 + 5 - 7)i=-5i$

Answer:

$8 - 5i$