Question

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

-6 + 10i

10 + 6i

16i

10 - 6i

Answer 1

Answer

-6 + 10i

Step-by-step explanation:

Greetings !

Write the expression in product form

$2i \times (5 + 3i)$

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!