A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

(x^(-2)-y^(-2))/(x^(-1)-y^(-1)) please?

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

    \[{x^{-2}-y^{-2} \over x^{-1}-y^{-1}}?\]

  2. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac{x^{-2}-y^{-2}}{x^{-1}-y^{-1}}\] right?

  3. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    its just a matter of flipping all the ^- exponents to their reciprocals and re writeing it

  4. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what part are you stuck at?

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

    \[x ^{-1}-y ^{-1}\]

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

    Just factor the numerator: \[={(x^{-1}-y^{-1})(x^{-1}+y^{-1}) \over x^{-1}-y^{-1}}=x^{-1}+y^{-1}\]

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

    so is it 1/x-y

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

    \[\frac{x^{-2}-y^{-2}}{x^{-1}-y^{-1}}=\frac{\frac{1}{x^2}-\frac{1}{y^2}}{\frac{1}{x}-\frac{1}{y}}\] Answar's ways method is the correct snappy way to do it but if you want to see why it is true, multiply numerator and denominator by \[x^2y^2\] to clear the fractions, or subtract and divide and you will get \[\frac{y-x}{xy}\]

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

    wow, thanks satelite73! how do i give a medal for your answer? you had the clearest solution of all! made me really understand the problem well. :) THANK YOU SO MUCH TO THE OTHERS AS WELL! <3

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

    By the way satellite, it's Anwar :) .. My way is simpler if you focus :P

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

    you're right Anwar! it is! i guess i just have to be more focused!

  12. 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.