Verified Answer :

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, \(i=\sqrt{-1} \\i^{2}=\sqrt{-1} \sqrt{-1} \\i^{2}=-1\)

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

\(a(b+c)=ab+ac\)

So we have:

\(2i(4-5i)\\=8i-10i^{2}\)

Since \(i^{2}=-1\), we can write:

\(8i-10(-1)\\=8i+10\)

Option D is correct.

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