SOLUTION: Hi, I have to simplify (x^3-x^2)/(1-x^3) So, then, I was able to get it down to x^2 (x-1)/(1-x)(1+x+x^2) and then, I was just stuck right there, I don't know how to simplify it fu

Algebra ->  Signed-numbers -> SOLUTION: Hi, I have to simplify (x^3-x^2)/(1-x^3) So, then, I was able to get it down to x^2 (x-1)/(1-x)(1+x+x^2) and then, I was just stuck right there, I don't know how to simplify it fu      Log On


   



Question 1119168: Hi, I have to simplify (x^3-x^2)/(1-x^3)
So, then, I was able to get it down to x^2 (x-1)/(1-x)(1+x+x^2) and then, I was just stuck right there, I don't know how to simplify it further. I would appreciate very much if you can help. Thank you.

Found 2 solutions by Alan3354, ankor@dixie-net.com:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, I have to simplify (x^3-x^2)/(1-x^3)
So, then, I was able to get it down to x^2 (x-1)/(1-x)(1+x+x^2) and then, I was just stuck right there, I don't know how to simplify it further.
================
(x-1) = -(1-x)
x^2 (x-1)/(1-x)(1+x+x^2)
= -x^2*(x-1)/(x-1)(1+x+x^2)
= -x^2/(1+x+x^2)

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
simplify %28x%5E3-x%5E2%29%2F%281-x%5E3%29 = x%5E2%28x-1%29%2F%281-x%5E3%29
Factor out -1
x%5E2%28x-1%29%2F-1%28x%5E3-1%29
the difference of cubes =
x%5E2%28x-1%29%2F%28-1%28x-1%29%28x%5E2%2Bx%2B1%29%29
Cancel (x-1)
x%5E2%2F-1%28x%5E2%2Bx%2B1%29 = -x%5E2%2F%28x%5E2%2Bx%2B1%29