Respuesta :

DankSpideyMemes
2i times 4 equals 8i, i times i equals -1 so 2i times -5i equals 10 since the two negatives cancel out. So your final answer is D 10+8i.
TaeKwonDoIsDead

Answer:

D


Step-by-step explanation:


This is a complex number simplification

  • Also, [tex]i=\sqrt{-1} \\i^{2}=\sqrt{-1} \sqrt{-1} \\i^{2}=-1[/tex]

We can use the distributive property as the first step. The property is:

[tex]a(b+c)=ab+ac[/tex]

So we have:

[tex]2i(4-5i)\\=8i-10i^{2}[/tex]

Since [tex]i^{2}=-1[/tex], we can write:

[tex]8i-10(-1)\\=8i+10[/tex]

Option D is correct.