How to do partial fractions for (1/(2s + 1)) * (2/s)

Answer 1

(1/(2s+1))*(2/s)

= 2/(2s+1)(s)

= a/(2s+1) + b/s

2 = as + 2bs + b

2 = (a+2b)s + b

let s=0, then b= 2, a=-4

2/(2s+1)s = -4/(2s+1) + 2/s = the partial fractions

=-4s/(2s+1)s +(4s+2)/(2s+1s) = 2/(2s+1)s