Question 269372
I am to simplify the following polynomial using long division.
{{{(x^3-1)(x^2-1)^(-1)}}}
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= {{{(x^3-1)/(x^2-1)}}}
= {{{ (x-1)*(x^2+x+1)/((x-1)*(x+1))}}}
= {{{ (x^2+x+1)/(x+1)}}}
= {{{ (x*(x+1) + 1)/(x+1)}}}
= {{{ x(x+1)/(x+1) + 1/(x+1)}}}
= {{{x + 1/(x+1)}}}