Question 288479
{{{(x^3-1)/(1-x)}}}
Recognize (x^3 - 1) as the difference of squares, which factors, so you have;
{{{((x-1)(x^2+x+1))/(1-x)}}}
Rewrite (1-x)
{{{((x-1)(x^2+x+1))/(-1(x-1))}}}
cancel (x-1)
{{{(x^2+x+1)/-1}}} = {{{-(x^2+x+1)}}}