SOLUTION: Hi While working through the solution to problem in my course text i am told that (s/(1-s))*e^B/(1+(s/(1-s))*e^B) will simplfy to the following: (se^B)/(1-(1-e^B)s) Aft

Algebra ->  Expressions -> SOLUTION: Hi While working through the solution to problem in my course text i am told that (s/(1-s))*e^B/(1+(s/(1-s))*e^B) will simplfy to the following: (se^B)/(1-(1-e^B)s) Aft      Log On


   

Question 615428: Hi While working through the solution to problem in my course text i am told that
(s/(1-s))*e^B/(1+(s/(1-s))*e^B)
will simplfy to the following:
(se^B)/(1-(1-e^B)s)
After running the expression prior to simplfication through your algebra simplifier i am getting a different solution to the course text so i am wondering if there are additional steps needed to simplfy further?
Thanks
Jonathan
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply EVERY term by the LCD 1-s to go from

(s/(1-s))*e^B/(1+(s/(1-s))*e^B)

to

(se^B)/(1-s+se^B)


Now you can factor out an 's' from the last two terms in the denominator to get what your book got

(se^B)/(1-(1-e^B)s)