Why is my Laplace Inverse wrong?

[corolla]

I am doing Laplace inverse here and get the following answer, but when I check online, it shows a much more elaborate answer that I don't understand. Why is my answer wrong? What steps do I take to get the correct answer?

E-math help answer:

Symolab answer:

 

[stapel]

Can you distribute like that?

 

[BobP]

$L^{-1}\{e^{-as}F(s)\}=u(t-a)f(t-a), \text{ where }L^{-1}\{F(s)\}=f(t).$

In order to calculate $f(t)$ you have to split $1/\{(s^{2}+4)(s+1)s\}$ into the partial fractions

$(As+B)/(s^{2}+4)+C/(s+1)+D/s.$