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 :/

Question

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 :/

stacey · Answer

Do you know how to factor those expressions?

anonymous · Answer

Um I know x^2-1 = (x+1)(x-1) right?

anonymous · Answer

Before we start answering your question, is this the expression you have?

$$(x^{3} + 1)/(x^{2} - 1) * (3x - 3) / (x{3} - x^{2}+x) $$

anonymous · Answer

yes :)

stacey · Answer

Since x^3 + 1 is a sum of cubes it factors into
(x+1)(x^2 - x + 1)

anonymous · Answer

and then below that I would put (x+1)(x-1) right

stacey · Answer

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 · Answer

Oh so then it would be 3(x-1) / x(x^2-x+1) ? or do I not put the 1

stacey · Answer

You have it correct.

anonymous · Answer

Yay! Do you have time for another question?

anonymous · Answer

wait everything cancelled?

stacey · Answer

Not quite everything.

stacey · Answer

You should still have a 3 in the numerator and an x in the denominator.

anonymous · Answer

Oh yeah I totally ignored that. So my answer would be 3/X

stacey · Answer

Yes

anonymous · Answer

Thank you

stacey · Answer

You're welcome.

anonymous · Answer

I have another question?