Question

what is the difference in simplest form n^2+3n+2/n^2+7n+10 - 2n/n+5

Answer 1

The simplest form of the function will be given by:
n^2+3n+2/n^2+7n+10 - 2n/n+5
=[(n+1)(n+2)]/[(n+5)(n+2)]-2n/(n+5)
=(n+1)/(n+5)-2n/(n+5)
=[n+1-2n]/(n+5)
=(1-n)/(n+5)

Answer: (1-n)/(n+5)