Answer:
[tex]xy = -109i[/tex]
Step-by-step explanation:
Given that:
[tex]x = 10 - 3i[/tex]
[tex]y = 3-10i[/tex]
where, i is the imaginary part
We have to find xy.
[tex]xy=(10-3i)(3-10i)[/tex]
⇒[tex](10-3i)(3-10i) = 30-100i-9i+30i^2[/tex]
We know that: [tex]i^2 = -1[/tex]
then;
⇒[tex](10-3i)(3-10i) = 30-100i-9i-30=-109i[/tex]
⇒[tex]xy =-109i[/tex]
therefore, the product of x and y is, -109i
