A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

Why does X(x+y) - y(x+y)/ x-y factor to (x+y)(x-y)/x-y

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

    \[X(x+y) - y(x+y)/x-y = (x+y)(x-y)/x-y\]

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

    where does the x and -y go?

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

    Is X different from x?

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

    no

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

    factoring out (x+y) in the numerator we get\[\frac{x(x+y)-y(x+y)}{x-y}=\frac{(x+y)(x-y)}{x-y}=x+y\]

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

    but factoring out the x+y 's give you 1

  7. TuringTest
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    try distributing (x+y) as a whole into (x+y)(x-y)|dw:1327954866293:dw|so it works in reverse as well

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

    |dw:1327954995812:dw|

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

    hmmm

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

    still no?

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

    Ahh see

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

    Kinda like foil

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

    if you backwards foil x(x+y) - y( x+y) you get (x +y) (x-y)

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

    ok let \[a=(x+y)\]so we have\[xa-ya=(x-y)a=(x-y)(x+y)\]

  15. TuringTest
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yes factoring is like distributing backwards here it's not really foiling because we don't multiply out the two terms, we treat one as a single variable. Like I said, let\[a=(x+y)\]then it's like distribution\[(x+y)(x-y)=a(x-y)=ax-ay=x(x+y)-y(x+y)\]we just don't multiply it out, and we run in reverse\[x(x+y)-y(x+y)=ax-ay=a(x-y)=(x+y)(x-y)\]

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

    thanks for the help :D

  17. TuringTest
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    welcome :)

  18. 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.