1. The problem statement, all variables and given/known data Re-write the following fraction into the sum of fractions: 1/[(n^3)+n] 2. Relevant equations None that I can think of. . . 3. The attempt at a solution I first changed [(n^3)+n] to n[(n^2)+1], so by the rules, the aformentioned fraction should equate to (A/n) + (B/[(n^2)+1]). That means A * [(n^2)+1] + B * n should equate to 1. This is where I run into problems. Since there's only one n^2, that means A should equate to zero. However, there's also the constant A, which should equate to one. 0 doesn't equate to one. Is the problem faulty or am I missing something?