Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 152274: [(x^3 - 1)/(x^2 +1)] divided by (9x^2 + 9x + 9)/ (x^2 - x)
= (x-1) (x^2 + x +1)/(x^2 +1) divided by [ 9(x^2 + x + 1)]/[ x (x-1)]
= [(x-1)(x^2 + x + 1)/ (x^2 + 1) ] [x (x-1)/9(x^2 + x + 1)]
= [x (x-1)(x-1) / 9(x^2 + 1)]
can this be simplified more? is this correct?
: [(x^3 - 1)/(x^2 +1)] divided by (9x^2 + 9x + 9)/ (x^2 - x)
= (x-1) (x^2 + x +1)/(x^2 +1) divided by [ 9(x^2 + x + 1)]/[ x (x-1)]
= [(x-1)(x^2 + x + 1)/ (x^2 + 1) ] [x (x-1)/9(x^2 + x + 1)]
= [x (x-1)(x-1) / 9(x^2 + 1)]
can this be simplified more? is this correct?

Answer by orca(336) About Me  (Show Source):
You can put this solution on YOUR website!
It can not be simplified further.