Question

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

Group of answer choices

-6 + 10i

10 + 6i

16i

10 - 6i

Answer 1

-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!