MapleLaplaceAlgebra.mws

>    simplify((6/(s+1)+3*s-12)/(s^3-s^2-4*s+4));

3*(-2+s^2-3*s)/(s+1)/(s^3-s^2-4*s+4)

>    convert(3*(-2+s^2-3*s)/((s+1)*(s^3-s^2-4*s+4)),parfrac,s);

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

>    convert((6/(s+1)+3*s-12)/(s^3-s^2-4*s+4),parfrac,s);

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

>