anonymous
  • anonymous
x^3+1/x^2-1 * 3x-3/x^3-x^2+x Perform the indicated operations and reduce to the lowest terms, simplify each expression. Can someone please help me! I have a test tomorrow :/
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Stacey
  • Stacey
Do you know how to factor those expressions?
anonymous
  • anonymous
Um I know x^2-1 = (x+1)(x-1) right?
anonymous
  • anonymous
Before we start answering your question, is this the expression you have? \[(x^{3} + 1)/(x^{2} - 1) * (3x - 3) / (x{3} - x^{2}+x) \]

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anonymous
  • anonymous
yes :)
Stacey
  • Stacey
Since x^3 + 1 is a sum of cubes it factors into (x+1)(x^2 - x + 1)
anonymous
  • anonymous
and then below that I would put (x+1)(x-1) right
Stacey
  • Stacey
Correct. For the second fraction, the numerator can be factored by taking out the common factor of 3 and the denominator can be factored by taking out the common factor of x.
anonymous
  • anonymous
Oh so then it would be 3(x-1) / x(x^2-x+1) ? or do I not put the 1
Stacey
  • Stacey
You have it correct.
anonymous
  • anonymous
Yay! Do you have time for another question?
anonymous
  • anonymous
wait everything cancelled?
Stacey
  • Stacey
Not quite everything.
Stacey
  • Stacey
You should still have a 3 in the numerator and an x in the denominator.
anonymous
  • anonymous
Oh yeah I totally ignored that. So my answer would be 3/X
Stacey
  • Stacey
Yes
anonymous
  • anonymous
Thank you
Stacey
  • Stacey
You're welcome.
anonymous
  • anonymous
I have another question?

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