Question 16532
{{{(x^3 - 1)/(x - 1)}}}={{{(x^2+x+1)(x-1)/(x-1)}}}={{{x^2+x+1}}}
{{{(x^4 - 1)/(x - 1)}}}={{{(x^3+x^2+x+1)(x-1)/(x-1)}}}={{{x^3+x^2+x+1}}}
{{{(x^5 - 1)/(x - 1)}}}={{{(x^4+x^3+x^2+x+1)(x-1)/(x-1)}}}={{{x^4+x^3+x^2+x+1}}}
Can you see the pattern?

{{{(x^9 - 1)/(x - 1)}}}={{{(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)(x-1)/(x-1)}}}={{{x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1}}}