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What is the product of (2i) and (5+3i)?

Group of answer choices

-6 + 10i

10 + 6i

16i

10 - 6i

User Ershan
by
8.1k points

1 Answer

1 vote

Answer

-6 + 10i

Explanation:

Greetings !

Write the expression in product form


2i * (5 + 3i)

Apply distributive law a(b+c)=ab+ac


2i5 + 2i3i

Multiply the numbers

  • 2.5=10
  • =10i

Multiply the numbers

  • 2.3=6

Apply exponent rule aa=a²


ii = i {}^(2) \\ = 6i {}^(2)

Apply imaginary number rule i²=-1

=6(-1)=-6


= 10i - 6

Rewrite in standard complex form:


- 6 + 10i

Hope it helps!

User Shikhar Awasthi
by
7.7k points
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