Answer:
(3 + 8i)(3 – 8i) = 73
Step-by-step explanation:
[tex](3 + 8i)(3 – 8i)[/tex]
To multiply it we use FOIL method
First we multiply 3 by the terms inside second parenthesis
[tex]3*3= 9[/tex]
[tex]3 * -8i= -24[/tex]
Now we multiply 8i inside second parenthesis
[tex]8i * 3= 24i[/tex]
[tex]8i * (-8i) = -64i^2[/tex]
Combine all the terms
[tex]9 - 24i + 24i - 64i^2[/tex]
The value of i^2 = -1
[tex]9 - 24i + 24i - 64(-1)[/tex]
9 + 64= 73
