A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

Multiplying rational expressions: x+5/4x-16 * 2x^2-32/x^2-25

  • This Question is Closed
  1. ash2326
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    we have \[\frac{x+5}{4x+16} * \frac{2x^2-32}{x^2-25}\] now we can take out 4 from 4x +16 and 2 from 2x^2-32 so we get \[\frac{x+5}{4(x+4)} * \frac{2(x^2-16)}{x^2-25}\] now using a^-b^2=(a+b)(a-b) \[\frac{x+5}{4(x+4)} * \frac{2(x+4)(x-4)}{(x-5)(x+5)}\] now we can cancel x+5 and x+4 from numerator and denominator, so we have \[\frac{\cancel{x+5}}{4{\cancel{(x+4)}}} * \frac{2\cancel{(x+4)}(x-4)}{(x-5)\cancel{(x+5)}}\] so we have now \[\frac{2(x-4)}{4(x-5)}\] we get finally \[\frac{x-4}{2(x-5)}\]

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

    why would we take oout 4 and 2?

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

    I will tell you if i said .. i give 2 apple for 4 persons then of course each person have \[\frac{1}{2}\] apple its the simplest form while you said it \[\frac{2}{4}, \frac{1}{2}\] both are true ... The origin of Your Qustion is simplification .. so ash2326 do that in best way .

  4. 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.