Question

think now: 02.10. 2026
possible points: 0.25
multiply: $(-2 - 8i)(-2 - 6i)$
$52 - 28i$
$-44 + 28i$
$-44 - 28i$
$52 + 28i$

Explanation:

Step1: Expand using FOIL method

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

Step2: Calculate each term

$= 4 + 12i + 16i + 48i^2$

Step3: Substitute $i^2=-1$

$= 4 + 12i + 16i + 48(-1)$

Step4: Combine like terms

$= 4 - 48 + (12i + 16i) = -44 + 28i$

Answer:

$-44 + 28i$ (Option B)