Question 151052
{{{(x^3-27)/(x^3-3x^2+2x-6)}}}


Group the denominator
{{{(x^3-27)/((x^3-3x^2)+(2x-6))}}}


Factor the groups and the numerator
{{{((x-3)(x^2+3x+9))/(x^2(x-3)+2(x-3))}}}


Cancel out the x-3's
{{{(x^2+3x+9)/(x^2+2)}}}