Question

simplify.
(-3 + 3i)(-1 - i)
write your answer in the form a + bi.

Explanation:

Step1: Expand using FOIL method

$$(-3)(-1) + (-3)(-i) + (3i)(-1) + (3i)(-i)$$

Step2: Compute each term

$$3 +3i -3i -3i^2$$

Step3: Substitute $i^2=-1$

$$3 +3i -3i -3(-1) = 3 + 3$$

Answer:

$6 + 0i$ (or simply $6$)