Question 831012
Factor the numerator and denominator and cancel out common factors.
.
.
.

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

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