Simplifying an algebraic fraction with factors

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Homework Help Overview

The discussion revolves around simplifying the algebraic fraction x³(1-x²) / x(x-1). Participants are exploring the factorization of the expression and the simplification process.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to factor the numerator and expresses confusion about the simplification process, noting a previous incorrect answer. Another participant questions the implications of a specific factorization.

Discussion Status

Some participants have offered encouragement and acknowledgment of progress, while others are still exploring the factorization and simplification steps without reaching a consensus on the final outcome.

Contextual Notes

There is a mention of struggling with the problem for an extended period, indicating potential challenges in understanding the simplification process.

vodkasoup
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Homework Statement



Simplify the following expression: x3(1-x2) / x(x-1)


Homework Equations






The Attempt at a Solution



I know that the top can be factored to x3(1-x)(1+x) to give x3(1-x)(1+x) / x(x-1) . However, after this step I seem to just go round in circles. I got an answer of 2 on one occasion but I do not believe this is correct. Help would be appreciated.
 
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vodkasoup said:

Homework Statement



Simplify the following expression: x3(1-x2) / x(x-1)


Homework Equations






The Attempt at a Solution



I know that the top can be factored to x3(1-x)(1+x) to give x3(1-x)(1+x) / x(x-1) . However, after this step I seem to just go round in circles. I got an answer of 2 on one occasion but I do not believe this is correct. Help would be appreciated.

1 - x = -(-1 + x) = -(x - 1)
Does that help?
 
Thanks very much guys, got it now. Been struggling over this for ages!
 

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