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

Grazes Group Title

Find the term that contains y^8 in the expansion of (2x+y^2)^6

  • one year ago
  • one year ago

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

    \[y ^{8}\] \[(2x+y^{2})^{6}\]

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

    Binomial theorem ;)

    • one year ago
  3. Grazes Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Would it turn out to be \[y ^{8}=(y ^{2})^{U}\]

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

    My class hasn't covered logarithms yet, so I'm not sure if it's a guess 'n check type of thing.

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

    Banging it out and multiplying will be extremely tedious. There's a simpler way to do it by using binomial theorem, but that is far too much explaining for now if you haven't already learned it. Does anyone have any other ideas?

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

    I guess you could make an equation out of the exponents 8=2U...

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

    \[\left(2 x+y^2\right)^6=64 x^6+192 x^5 y^2+240 x^4 y^4+160 x^3 y^6+60 x^2 y^8+12 x y^{10}+y^{12} \]

    • one year 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.