A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

x^3+1/x^2-1 * 3x-3/x^3-x^2+x Perform the indicated operations and reduce to the lowest terms, simplify each expression. Can someone please help me! I have a test tomorrow :/

  • This Question is Closed
  1. Stacey
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Do you know how to factor those expressions?

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

    Um I know x^2-1 = (x+1)(x-1) right?

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

    Before we start answering your question, is this the expression you have? \[(x^{3} + 1)/(x^{2} - 1) * (3x - 3) / (x{3} - x^{2}+x) \]

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

    yes :)

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

    Since x^3 + 1 is a sum of cubes it factors into (x+1)(x^2 - x + 1)

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

    and then below that I would put (x+1)(x-1) right

  7. Stacey
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Correct. For the second fraction, the numerator can be factored by taking out the common factor of 3 and the denominator can be factored by taking out the common factor of x.

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

    Oh so then it would be 3(x-1) / x(x^2-x+1) ? or do I not put the 1

  9. Stacey
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You have it correct.

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

    Yay! Do you have time for another question?

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

    wait everything cancelled?

  12. Stacey
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Not quite everything.

  13. Stacey
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You should still have a 3 in the numerator and an x in the denominator.

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

    Oh yeah I totally ignored that. So my answer would be 3/X

  15. Stacey
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes

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

    Thank you

  17. Stacey
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You're welcome.

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

    I have another question?

  19. 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.