Us partial fraction decomposition to decompose the given expression: (2x^2+1)/(x^3+2x^2+x)

(2x^2+1)/(x^3+2x^2+x)

= (2x^2+1)/[x(x^2+2x+1)

= (A/x) + (B/(x+1)) + (C/(x+1))

= (2x^2+1)/(x^3+2x^2+x) * (x^3+2x^2+x) = [(A/x) + (B/(x+1)) + (C/(x+1))]*(x^3+2x^2+x)

= 2x^2+1 = A(x^2+1) + B/(x^2+x) + C/(x^2+x)

= 2x^2+1 = A(x^2+1) + (B+C)(x^2+x)

And that's as far as I got. don't know where to go from there..?

Thank you!