Question 745514
This is not a "proper" decomposition problem. Typically the degree of the denominator is greater than the degree of the numerator...
but...we can still simplify...
notice that this expression can be factored:

{{{(4x^3)/(x^3-x^2)=((x^2)(4x))/((x^2)(x-1))}}}

from here we notice that by polynomial long division (don't know how to show using this editor) that:

{{{x/(x-1)=1+1/(x-1)}}}

so our expression simplifies to...


{{{(4+4/(x-1))}}}


:)