SOLUTION: Please perform the following operations with complex numbers: (2+i)(2-3i)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Please perform the following operations with complex numbers: (2+i)(2-3i)      Log On


   

Question 687599: Please perform the following operations with complex numbers: (2+i)(2-3i)
Answer by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
To simplify, you will use the FOIL method:

First x First = 2 x 2 = 4

Outside x Outside = 2 x -3i = -6i

Inside x Inside = i x 2 = 2i

Last x Last = i x -3i = -3i%5E2 = -3 x -1 = 3

Now, just add everything together:

4 + -6i + 2i + 3 = 7 - 4i

Final Answer: 7 - 4i