Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Rebbbtx

  • 2 years ago

Can someone please show me step by step, how to factor this equation? a^3x-b^3x-a^3y+b^3y the answer = (a-b)(a^2+ab+b^2)(x-y)

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

    a^3x-b^3x-a^3y+b^3y (a^3-b^3)x - (a^3 -b^3)y

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

    Did u get that step?

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

    okay, yes. First you take the x and y out

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

    what next?

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

    One could also start by taking a and b out:\[a^{3}(x-y)+b^{3}(y-x)\] But I don't really know how to get to that answer or why to aim at that? :o

  6. andriod09
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The best way to do it: FIND THE COMMON NUMBER BETWEEN EVERYTHING.

  7. abdul_shabeer
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[a^3-b^3=(a-b)(a^2+ab+b^2)\]

  8. abdul_shabeer
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Got the answer?

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

    You can check that what abdul said by going backwards: \[(a - b)(a ^{2} + ab + b ^{2})\] \[= (a^{3}+a^{2}b + ab^{2}) + (-a^{2}b - ab^{2} - b^{3})\] \[= a^{3}+a^{2}b - a^{2}b + ab^{2} - ab^{2} - b^{3}\] \[= a^{3} - b^{3}\] Not sure yet how to get that (x - y) out o.O

  10. abdul_shabeer
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[a^3x-b^3x-a^3y+b^3y\] \[x(a^3-b^3)-y(a^3-b^3)\] \[(a^3-b^3)(x-y)\] \[(a-b)(a^2+ab+b^2)(x-y)\]

  11. Not the answer you are looking for?
    Search for more explanations.

    Search OpenStudy
    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.