Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

natasha.aries

  • 2 years ago

HEY PLEASE HELP ME! :) Find the first four terms in the expansion of (x^1/2+1)^30

  • This Question is Closed
  1. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    use this : 30C0 (x^1/2)^30(1)^0 + 30C1 (x^1/2)^(30-1) (1)^1 + 30C2 (x^1/2)^(30-2) (1)^2 + 30C3 (x^1/2)^(30-3) (1)^3 calculate and simplify it

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

    wait im confused do you think you can write it out on paper and attach it? im sorry and i understand if you cannot.

  3. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    do know about combination ?

  4. natasha.aries
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh wait! i think i get it! but do i go all the way to thirty? thats whats confusing me?

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

    no...:/

  6. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    the general formula of combination is |dw:1365545267017:dw| do u know about factorial :)

  7. natasha.aries
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh wait! i do know about it loll what would be n and what would be r?

  8. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    actually, n and r are natural number

  9. natasha.aries
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so how would i use the formula?

  10. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    well, first u have to know about factorial defined n! = n*(n-1)*(n-2)*... 3 . 2. 1 an example : 4! = 4 . 3 . 2 . 1 = 24 so far so good ?

  11. natasha.aries
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes!

  12. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    ah, as extra info defined 0! = 1 nah, let's going to combination above 30C0 = 30!/(30-0)!0! = 30!/30!*1 = 30!/30! = 1, right ?

  13. natasha.aries
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes!

  14. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    so, what is the 30C1 ? :) try

  15. natasha.aries
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    30

  16. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    cool :)

  17. natasha.aries
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    do i go all the way down until i get to 1?

  18. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    so, so on u can calculation of 30C2 and 30C3 right

  19. natasha.aries
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah

  20. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    ok, now we have the other problem about exponent

  21. natasha.aries
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  22. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    look, that i wrote expression about 1^0, 1^1, 1^2, 1^3. these are be 1 right ? and whatever if multiplied by 1 be its self, right ?

  23. natasha.aries
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yess

  24. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    so, u can miss them

  25. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    then for simplify of (x^1/2)^30, u can use the property of exponent : (a^m)^n = a^(m*n) so, (x^1/2)^30 = x^16, right ?

  26. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    opp, x^15 i mean :)

  27. natasha.aries
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

  28. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    then so on, u have to simplify about (x^(1/2))^(30-1) = (x^(1/2))^(29) = x^(29/2) = sqrt(x^29) or u can modif again be sqrt(x^28 * x) = sqrt(x^28) sqrt(x) = (x^(28/2)) * sqrt(x) = x^14 * sqrt(x)

  29. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    it just simplification in radical form to exponential form

  30. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    or just one expression sqrt(x^29) only

  31. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    now, what about u with (x^1/2)^(30-2) (1)^2 = ... ?

  32. natasha.aries
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ohh!! okay i understand! thank you very much!!!!

  33. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    you're welcome

  34. natasha.aries
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :)

  35. 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.