SOLUTION: {{{(4/3n)+(3/(n+1))+(2/(n^2+n))}}} perform and reduce

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: {{{(4/3n)+(3/(n+1))+(2/(n^2+n))}}} perform and reduce       Log On


   

Question 48182: %284%2F3n%29%2B%283%2F%28n%2B1%29%29%2B%282%2F%28n%5E2%2Bn%29%29
perform and reduce
Answer by jake_6233(74) About Me  (Show Source):
You can put this solution on YOUR website!
%284%2F3n%29%2B%283%2F%28n%2B1%29%29%2B%282%2F%28n%5E2%2Bn%29%29
The first thing to realize is the common denominator factor everything you can in the donominators will make the common denominator more obvious... which is
3*n*(n+1)
Multiplying the top and bottom by the common denominator yields

%284n+%2B4+%2B9n+%2B6%29%2F%283%2An%2A%28n%2B1%29%29
%2813n%2B10%29%2F%283%2An%2A%28n%2B1%29%29
I hope that this help you