Simplifying an algebraic fraction with factors

[vodkasoup]

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.

 

[Mark44]

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?

 

[jedishrfu]

good answer mark.

 

[vodkasoup]

Thanks very much guys, got it now. Been struggling over this for ages!