How can I simplify this:

http://www.e-um.si/lessons/363/Glava.pdf

ex. 2, example a

p.s. How can I draw mathematical formulas here?

thanx

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- May 18th 2010, 09:18 AMkapitalSimplify
How can I simplify this:

http://www.e-um.si/lessons/363/Glava.pdf

ex. 2, example a

p.s. How can I draw mathematical formulas here?

thanx - May 18th 2010, 10:22 AMmasters
Hi kapital,

$\displaystyle \frac{x^{2n-2}-1}{x^{2n}-x^{n+1}+x^{n-1}-1}=\frac{(x^{n-1}+1)(x^{n-1}-1)}{(x^{n+1}+1)(x^{n-1}-1)}=\frac{x^{n-1}+1}{x^{n+1}+1}$

To create mathematical symbols, go here for a tutorial on LaTex. - May 18th 2010, 11:23 AMkapital
Hi, thanx for the link.

$\displaystyle

\frac{x^{2n-2}-1}{x^{2n}-x^{n+1}+x^{n-1}-1}=\frac{(x^{n-1}+1)(x^{n-1}-1)}{(x^{n+1}+1)(x^{n-1}-1)}=\frac{x^{n-1}+1}{x^{n+1}+1}

$

The result for equation is actually one. So, is my result information wrong or did you mistake? - May 18th 2010, 11:31 AMmasters
I did see that your answer was 1, but I could not simplify my result further to achieve that answer.

I could not find a mistake in my simplification.

In order for the result to equal 1, the numerator and denominator would have to be the same. This is not the case, so my guess is the key is wrong.