SOLUTION: Simplify the following product of complex numbers. (-3 + 2i) . (-4 - 8i) Thank you...For any help please so how you did it so I can learn.. OKay?

Algebra ->  Expressions-with-variables -> SOLUTION: Simplify the following product of complex numbers. (-3 + 2i) . (-4 - 8i) Thank you...For any help please so how you did it so I can learn.. OKay?      Log On


   

Question 625331: Simplify the following product of complex numbers.
(-3 + 2i) . (-4 - 8i)


Thank you...For any help please so how you did it
so I can learn.. OKay?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify the following product of complex numbers.
(-3 + 2i)*(-4 - 8i)
Use the * for multiply
(-3 + 2i)*(-4 - 8i) = -3*(-4 - 8i) + 2i*(-4 - 8i) same as any 2 binomials
= 12 + 24i - 8i - 16i^2
= 12 + 16i - 16i^2
i^2 = -1
--> 12 + 16i + 16
= 28 + 16i