Question 182433
Hello. I have the following polynomial to simplify using long division.
{{{ (x^3-1)(x^2-1)^-1 }}}

I know the answer is:
{{{ x + 1/(x+1)}}}
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{{{ (x^3-1)(x^2-1)^-1 }}}
={{{(x-1)*(x^2+x+1)/(x-1)*(x+1)}}}
Cancel the (x-1)
={{{(x^2+x+1)/(x+1)}}}
Then, you can split this up, for whatever reason
={{{(x^2+x)/(x+1) + 1/(x+1)}}}
={{{x + 1/(x+1)}}}