Question

Find the value of the largest of \(A\), \(B\), and \(C\) in the partial fractions expansion of
\(\frac{2(x^2+x-1)}{x(x^2-1)} = \frac{A}{x} + \frac{B}{x-1} + \frac{C}{x+1}.\)

Answer 1

Hint: the LCD is x(x^2-1). Get every fraction on the right hand side (RHS) to have the same denominator, ie the LCD

Answer 2

let me know if that's enough to get started or not

Answer 3

@jim_thompson5910, I did that, but I don't know what to do next.