Question

Please help
Express as a fraction in its simplest terms: n/n+1+1/(n+1)(n+2)

Answer 1

to add them together, the 2 fractions need to have the same denominator. so multiply the first one with (n+2),
we have: [n*(n+2)]/[(n+1)*(n+2)] + [1/(n+1)(n+2)]
now they have the same denominator, we can add the two numerator together and divided by the same denominator
[n*(n+2) + 1]/[(n+1)(n+2)] = (n^2 + 2n + 1) / (n+1)*(n+2)