A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

solve for (a+bi)^3 dealing with complex numbers

  • This Question is Closed
  1. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (a+bi)(a+bi)(a+bi) do it like normally; the i's are just another variable in this case. when you get to the end....anything that has an i^2 is multiplied by -1

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i think the problem that i have is that they are not numbers so it messes me up but i have to foil all this right

  3. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah foil it , and dont be intimidated by that i..... own it :)

  4. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (a+bi)(a+bi) (a^2 +2abi +(bi)^2) --------------------- (a+bi)(a^2 +2abi +(bi)^2) a^3 +3a^2bi +3a(bi)^2 + (bi)^3 .... if I did it right :)

  5. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    a^3 +3a^2b(i) +3ab^2(i^2) +b^3(i)(i^2) a^3 +3a^2b(i) -3ab^2 -b^3(i) a^3 -3ab^2 +3a^2b(i) -b^3(i) looks about right

  6. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but if im wrong, let me know ;)

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well im not exactly sure how to enter in cause it gives (a+bi)^3=box+box i

  8. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I think I see a solution to the problem :)

  9. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    [ a(a^2 +3b^2) ] box1 + [ b(3a^2 - b^2) ] box2 [i]

  10. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok ill see thanks

  11. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.