You add, subtract and multiply complex numbers exactly as you do with variables: you sum like terms, recalling that [tex]i^2=-1[/tex]
So, you have
[tex](8-3i)-(6+i) = 8-3i-6-i = 8-6-3i-i = 2-4i [/tex]
And
[tex] (5+2i)(4-3i) = 20-15i+8i-6i^2 = 20-7i+6 = 26-7i [/tex]