Question 1032517
{{{(x^5 + x^4 - 4x^3 - 4x^2)/(x^5 + 4x^4 + 4x^3)}}}


{{{(x^2(x^3+x^2-4x-4))/(x^3(x^2+4x+4))}}}


Simple use of Rational Roots Theorem and synthetic division...
{{{(x^2(x-2)(x+1)(x+2))/(x^3(x+2)^2)}}}


To actually simplify that will hide the realistic meaning of the expression, but canceling the factors of 1 will give...
{{{highlight(((x-2)(x+1))/(x(x+2)))}}}
The restrictions are these:  {{{system(x<>0,x<>-2)}}}