A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Help solve please medal! Simplify 3x+10/ x+1 + x+3/x+4 -6x+27/(x+1)(x+4)

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

    @radar @sammixboo @MrNood @puppylife101

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

    @Yungwisdom2000 @Compassionate

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

    I'm going to rewrite this to make sure we are looking at the same thing. :)

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

    ok thanks :)

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

    \[\frac{3x+10}{ x+1} + \frac{ x+3}{x+4} - \frac{6x+27}{(x+1)(x+4)}\] Is that the right thing?

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

    correct

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

    It's a bit scary looking. :) Any thoughts on what you might do first?

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

    we need a common denominator right :)

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

    That would be REALLY nice. Yes, let's try that.

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

    What might be the common denominator we are trying to make?

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

    (x+1) (x+4) right

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

    Seems like a good choice. That appears to be the most complicated thing in our expression. So far, so good.

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

    So, let's look at the first fraction. What needs to be done here?

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

    3x+10 (x+4) / x+1 (x+4) + (x+3) (x+1) / (x+4)(x+4) right

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

    Yes, on the second fraction you mean (x + 1) on the bottom, but I get it. :)

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

    Great! So here's what we have so far.

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

    \[\frac{(3x+10) (x + 4)}{(x+1) (x + 4)}+\frac{(x+3)(x+1)}{(x+1)(x+4)}−\frac{6x+27}{(x+1)(x+4)}\]

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

    Wow, that's a lot of stuff. Now what?

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

    cancel out

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

    Well, if we "cancel out" that might put us right back where we started right? Unless you mean distribute...

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

    i'm sorry i meant distribute lol

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

    No worries. :) Let's try to do that. What do you get. (Might take a minute) :)

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

    im kinda lost can you draw it out

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

    from where we left off

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

    Sure! I think we were here right? \[\frac{(3x+10)(x+4)}{(x+1)(x+4)}+\frac{(x+3)(x+1)}{(x+1)(x+4)}−\frac{6x+27}{(x+1)(x+4)}\]

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

    yes ok, so we distribute

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

    Yes, and what do you get after that?

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

    i got 4/ (x+1) (x+4)

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

    4 for which fraction?

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

    As the final answer?

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

    yes the final

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

    i think i did something wrong

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

    Oh, ok, let me double check that. :)

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

    yes please check

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

    So, for the first fraction: \[\frac{(3x+10)(x+4)}{(x+1)(x+4)}=\frac{3x^2 + 12x + 10 x + 40}{(x+1)(x+4)}\]

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

    For the second fraction: \[\frac{(x+3)(x+1)}{(x+1)(x+4)} = \frac{x^2 + 3x + x + 3}{(x+1)(x+4)}\]

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

    For the third fraction (watch out for the tricky - sign!): \[-\frac{6x+27}{(x+1)(x+4)}=\frac{-6x-27}{(x+1)(x+4)}\]

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

    ok i got 1/ (x+4)(x+1) for final

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

    Checking again... :)

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

    I get: (3x^2 + x^2 + 22x + 4x - 6x + 40 + 3 - 27)/(x+1)(x+4) so (4x^2 + 20x + 16)/(x+1)(x+4) so (2x + 2)(2x + 8)/(x+1)(x+4) then 2(x+1)*2(x+4)/(x+1)(x+4) Oh wow! 4 is the final answer. I think. :)

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

    ok i see, now you factor

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

    hey do you mind checking this one for me

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

    x/3 div 2/x+5

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

    i got X(x+5) /6

  45. 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.