- #1
late347
- 301
- 15
Homework Statement
I did some homework and wolfram alpha afterwards gave different result than what I have. Apparently I must have done some error, but I couldn't find error after I doublechecked about two times. So I decided to see if you guys can find an error. And what is the correct answer also. I was pulling my hair out after doing this problem for some time $$ \frac{\frac{1}{s}-s}{\frac{1}{s}-\frac{1}{s-1}} ~~~~~~ $$Homework Equations
The Attempt at a Solution
here we expanded
##(\frac{1}{s}-\frac{s^2}{s})/(\frac{s-1}{s(s-1)}-\frac{s}{s(s-1)})##here I tried to get the plusses and minuses right, but I'm not sure I succeeded
##[\frac{1}{s}+\frac{-s^2}{s}] / [\frac{s-1}{s(s-1)}+\frac{-s}{s(s-1)}]##
##(\frac{1-s^2}{s}) / [\frac{(s-1)-s}{s(s-1)}]##
##[ \frac{1-s^2}{s}] ~~*~~ [\frac{s(s-1)}{-1} ]####\frac{(s-1)(s+1)}{s} * \frac{s(s-1}{-1}#### \frac{(s-1)^2(s+1)(s)}{-s}##
##(-1)(s-1)^2(s+1)##