SOLUTION: I desperately need some help. Please help me with this question. Write the result in standard form (8+3i)(7+4i)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I desperately need some help. Please help me with this question. Write the result in standard form (8+3i)(7+4i)      Log On


   

Question 318371: I desperately need some help. Please help me with this question.
Write the result in standard form (8+3i)(7+4i)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%288%2B3i%29%2A%287%2B4i%29 Start with the given expression.


%288%29%287%29%2B%288%29%284i%29%2B%283i%29%287%29%2B%283i%29%284i%29 FOIL.


56%2B32i%2B21i%2B12i%5E2 Multiply.


56%2B32i%2B21i%2B12%28-1%29 Replace i%5E2 with -1. Note: i%5E2=-1.


56%2B32i%2B21i-12 Multiply.


44%2B53i Combine like terms.


So %288%2B3i%29%2A%287%2B4i%29=44%2B53i.


So the expression is now in standard form a%2Bbi where a=44 and b=53