SOLUTION: Please help me. Perform the indicated operation. Write the result in standard form. (6-2i)(7+5i)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Please help me. Perform the indicated operation. Write the result in standard form. (6-2i)(7+5i)      Log On


   

Question 316760: Please help me. Perform the indicated operation. Write the result in standard form.
(6-2i)(7+5i)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%286-2i%29%2A%287%2B5i%29 Start with the given expression.


%286%29%287%29%2B%286%29%285i%29%2B%28-2i%29%287%29%2B%28-2i%29%285i%29 FOIL.


42%2B30i-14i-10i%5E2 Multiply.


42%2B30i-14i-10%28-1%29 Replace i%5E2 with -1. Note: i%5E2=-1.


42%2B30i-14i%2B10 Multiply.


52%2B16i Combine like terms.


So %286-2i%29%2A%287%2B5i%29=52%2B16i.