SOLUTION: 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)}}} but am not sure how. Can someone

Question 182433: Hello. I have the following polynomial to simplify using long division.

I know the answer is:

but am not sure how. Can someone please help.
Thank you.
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
simplify using long division.

----------------------------
(x^3-1) / (x^2-1)
= [(x-1)(x^2+x+1)] / [(x-1)(x-2)]
= (x^2+x+1)/(x-2)
Now use long division or synthetic division:
2)....1....1....1
.......1....3..|..7
Quotient: x+3
Remainder: 7
====================
Cheers,
Stan H.

Cheers,
Stan H.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Hello. I have the following polynomial to simplify using long division.

I know the answer is:

---------------------

=
Cancel the (x-1)
=
Then, you can split this up, for whatever reason
=
=

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