You multiply them just as you would multiply any normal polynomials, except there is a special rule. Since we know that i = √-1, the rule is that i² = -1. So, let's multiply:
[tex](9-4i)(8+6i) = 72+54i-32i-24i^2[/tex]
Let's simplify this:
[tex]72+22i+(-24*-1)[/tex]
[tex]72+22i+24 = 96+22i[/tex]
Therefore, your answer is 96 + 22i.
