A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Help for a medal???

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Charlie needs to simplify the expression below before he substitutes values for x and y. If x ≠ 0 and y ≠ 0, which of the following is a simplified version of the expression below? x^9y^5 x^24y^16 x^6y^3 + x^3y^2 x^15y^8 + x^6y^4

    1 Attachment
  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @zepdrix Can you help?

  3. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\Large\rm \frac{x^{18}y^{12}+x^9y^8}{x^3y^4}\]So um... we have three x's multiplying in the bottom. We'd like to find three x's in the top also, so we can cancel some stuff out. But to do that we need to take the x's out of each term in the top. Do you remember how to factor? :) How do we take three x's out of each term in the top?\[\Large\rm x^{18}y^{12}+x^9y^8=x^3(\quad ?\quad+\quad?\quad)\]

  4. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Hannah Bananaaaaa +_+ where you at girrrrrr

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

    Sorry D: Pizza comes first math comes second! Do I add the Xs together?

  6. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Ooo pizza noice :U no. You're dividing some x's out of each term.|dw:1434569099407:dw|

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

    Ooooh, okay.

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So would you divide x^3 by x^9 and x^18?

  9. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    mhm :o

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

    Alright, give me a sec

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x^6y^12 + x^3y^8

  12. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    See the first term, you're multiplying 18 x's together. If you pull 3 of them out, then you're only multiplying 15 x's together, ya? I don't think you wanted to divide the 18 by 3 silly :)

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oooooooooooooooooooohhhhhh. Alright, gotcha!

  14. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So let's see what pulling out the x^3 does for us:\[\Large\rm \frac{x^{18}y^{12}+x^9y^8}{x^3y^4}=\frac{\color{orangered}{x^3}(x^{15}y^{12}+x^3y^{8})}{\color{orangered}{x^3}y^4}\]Ooo notice now that we have some matching x's on top and bottom! So we can cancel out that junk.\[\Large\rm \frac{\cancel{\color{orangered}{x^3}}(x^{15}y^{12}+x^3y^{8})}{\cancel{\color{orangered}{x^3}}y^4}=\frac{x^{15}y^{12}+x^3y^8}{y^4}\]

  15. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    We'll have to do a similar step to deal with the y's.

  16. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Any confusion on that step Bananz? :o You have pizza in your hand don't you -_- lol

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    RIGHT

  18. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    prolly cheese everywhere -_-

  19. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Since we have y^4 in the bottom, we'd like to try and pull out y^4 from each term in top.

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Haha pizza is my life :D

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Wait, what do you mean pull the y^4 out? Do you just get rid of it? Or do you gotta divide the y^4 by other Y's?

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Or is it something else?

  23. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, divide the other y's by y^4.

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Alright

  25. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[(x ^{15} y ^{3} + x^3 y^2) = x ^{15} y^{3} + x^3 y^2\]

  26. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That took a LONG TIME to type using the equation thing.

  27. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    woops! you did it again silly. when you divide y's like that, you need to `subtract` the exponents.\[\Large\rm \frac{y^{12}}{y^4}=y^{12-4}=y^8\]

  28. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    OOOOOOOOH

  29. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Alright, I'll do it again

  30. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[(x^{15} y^{12} +x^3 y^{4}) = x^{15} y^{8} + x^3 y^4\]

  31. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    OMG I FORGOT ABOUT THE y^12

  32. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    This has proved difficult doing while eating pizza

  33. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    careful the way you're writing that +_+ don't forget about the y^4 out front.\[\Large\rm (x^{15} y^{12} +x^3 y^{4}) = \color{orangered}{y^4}(x^{15} y^{8} + x^3 y^4)\]Your work looks correct though :)

  34. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\Large\rm \frac{x^{15}y^{12}+x^3y^8}{y^4}=\frac{\color{orangered}{y^4}(x^{15}y^{8} + x^3y^4)}{\color{orangered}{y^4}}\]

  35. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Haha, sorry about that XD

  36. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Cool, so do you see which option you'll end up with? :)

  37. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    D?

  38. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I dedicate this song to you https://www.youtube.com/watch?v=TjcOJmoJwpk skip to the 0:26 second mark please

  39. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yay good job \c:/

  40. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    lolol -_-

  41. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I know cliche :D But still, thank you!

  42. 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.