Accepted Answer
Step-by-step explanation:well, when 2 summed teens are multiplied, every part of one term is multiplied with every part of the other term :(4 - 3i)(2 + i) = 8 + 4i - 6i - 3i² = 8 - 2i + 3 = 11 - 2i
Suggested Answer
Answer:11 - 2iStep-by-step explanation:Given expression:[tex](4-3i)(2+i)[/tex]Expand:[tex]\implies 4(2+i)-3i(2+i)[/tex][tex]\implies 8+4i-6i-3i^2[/tex][tex]\implies 8-2i-3i^2[/tex]Apply the imaginary number rule i² = -1 :[tex]\implies 8-2i-3(-1)[/tex]Simplify:[tex]\implies 8-2i+3[/tex][tex]\implies 11-2i[/tex]