I hope I am translating this from paper to computer in a readable way... 1st timer!
I am trying to write the following in simplest form...
((a^2+1)/(a^2-1))-(a/(a+1)
I get an LCD of (a^2-1)(a+1),
then ((a^3+a^2+a+1)/(a^2-1)(a+1))-((a^3-a)/((a^2-1)(a+1))
then (a^2+1)/((a^2-1)(a+1))
then -(a^2-1)/((a^2-1)(a+1))
then -1/(a+1)
The book I am working from says the answer is 1/(a-1)... where am I going wrong? Thanks!
I am trying to write the following in simplest form...
((a^2+1)/(a^2-1))-(a/(a+1)
I get an LCD of (a^2-1)(a+1),
then ((a^3+a^2+a+1)/(a^2-1)(a+1))-((a^3-a)/((a^2-1)(a+1))
then (a^2+1)/((a^2-1)(a+1))
then -(a^2-1)/((a^2-1)(a+1))
then -1/(a+1)
The book I am working from says the answer is 1/(a-1)... where am I going wrong? Thanks!