# Factorization

• May 13th 2013, 10:49 PM
MoniMini
Factorization
Hi there!
How does one factorize $x^3 + (x^-3) - 2$?
I tried factorizing it by $x^3 - 1 + (x^3) -1$ and a few other methods
but couldn't really get close to the answer.

Thanks
• May 13th 2013, 11:02 PM
MarkFL
Re: Factorization
Do you mean:

$x^3+x^{-3}-2$ ?
• May 14th 2013, 12:12 AM
MoniMini
Re: Factorization
Yeah, I actually don't know how to write mathematical formulae on the website.
All I mean is "x cube plus one upon x cube minus 2"
• May 14th 2013, 12:26 AM
MarkFL
Re: Factorization
I'm still not sure if I interpreted your original post correctly, but if I did, then I would write:

$\frac{x^6-2x^3+1}{x^3}=\frac{(x^3)^2-2x^3+1}{x^3}$

Do you see now how the numerator is a quadratic in $x^3$? How can you factor this?