Answer
-6 + 10i
Step-by-step explanation:
Greetings !
Write the expression in product form
[tex]2i \times (5 + 3i)[/tex]
Apply distributive law a(b+c)=ab+ac
[tex]2i5 + 2i3i[/tex]
Multiply the numbers
Multiply the numbers
Apply exponent rule aa=a²
[tex]ii = i {}^{2} \\ = 6i {}^{2} [/tex]
Apply imaginary number rule i²=-1
=6(-1)=-6
[tex] = 10i - 6[/tex]
Rewrite in standard complex form:
[tex] - 6 + 10i[/tex]
Hope it helps!
