SOLUTION: please help to simplify 3i - 6 divided by -2i + 1

Algebra ->  Equations -> SOLUTION: please help to simplify 3i - 6 divided by -2i + 1      Log On


   

Question 68372This question is from textbook An Incremental Development
: please help to simplify
3i - 6
divided by
-2i + 1 This question is from textbook An Incremental Development

Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify : %283i+-+6%29%2F%28-2i+%2B+1%29

1.Multiply 1 + 2i both sides
%283i+-+6%29%2F%281+-+2i%29 * %281%2B2i%29%2F%281%2B2i%29

2. Use Distributive Property
%283i+-+6i%5E2+-+6+%2B+12i%29%2F%281+-+4i%5E2%29

3. Note i%5E2+=+%28-1%29
%286+%2B+15i+-+6%29%2F%281+%2B+4%29

4. Combine like terms
+15i%2F5%29

Answer:
highlight+%283i%29