Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

danielcb114 Group Title

How to factor y^4+1/2+1/(16y^4)? I know that it factors into (y^2+1/(4y^2))^2, but I can't figure out why. I need to simplify this for an arc length integral. Any help is greatly appreciated.

  • 9 months ago
  • 9 months ago

  • This Question is Closed
  1. danielcb114 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    It is copied correctly; a 3 term sum.

    • 9 months ago
  2. radar Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Have you copies it correctly or is Y^4 + (1/2) (y^2) + (1/16)(6^4)?

    • 9 months ago
  3. radar Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Does the middle term have the variable y^2 in it?

    • 9 months ago
  4. danielcb114 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Unfortunately, no. I have checked my algebra up to that point and I'm also looking at a solution manual; which skips the factoring step. I haven't seen anything like it before. I'm thinking something similar to completing the square is the way to go, but I'm lost at this point. Thanks for your help, by the way.:)

    • 9 months ago
  5. radar Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    O.K. I was thinking of a perfect square, but now I see that I was on the wrong track.

    • 9 months ago
  6. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    there is a typo in your question somewhere for sure

    • 9 months ago
  7. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[ y^2+\frac{1}{4}y^2=\frac{5}{4}y^2\] once you combine like terms

    • 9 months ago
  8. danielcb114 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Sorry, I just noticed it in the second part. The original question is correct, but the term should be squared.

    • 9 months ago
  9. danielcb114 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I have since corrected it; thank you.

    • 9 months ago
  10. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    still a typo, since \((\frac{5}{4}y^2)^2=\frac{25}{16}y^4\)

    • 9 months ago
  11. danielcb114 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Sorry again; I didn't see the missing parentheses. Now it is corrected(knock on wood);)

    • 9 months ago
  12. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    oooh now i get it \[\left(y^2+\frac{1}{4y^2}\right)^2\]

    • 9 months ago
  13. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    happy holidaze! you done?

    • 9 months ago
  14. myininaya Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    \[y^4+\frac{1}{2}+\frac{1}{16y^4} \] \[(y^2)^2+2 y^2 \frac{1}{4y^2}+(\frac{1}{4y^2})^2\] This is in the form \[a^2+2ab+b^2 \] which can be factored into the form: \[(a+b)^2 \]

    • 9 months ago
  15. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    probably easiest to see if you multiply out and see that it works

    • 9 months ago
  16. danielcb114 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Ahh, yes; I don't know why I didn't see that before. I wanted to express it that way, but for some reason my mind turned off the possibility. Thank you, myininaya, satellite73 and radar. You've made me very happy!

    • 9 months ago
  17. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yw (from all of us)

    • 9 months ago
  18. myininaya Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    I hope you all have a great happy holiday! :)

    • 9 months ago
    • Attachments:

See more questions >>>

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.