Can the Inverse Finding the Laplace transform of $\frac{2s + 1}{s(s + 1)(s + 2)}$ without using partial fractions

Question

I'm wondering if we can perhaps using the convolution theorem to find the inverse Laplace transform of $\dfrac{2s + 1}{s(s + 1)(s + 2)}$? I can find it using partial fraction decomposition, but it is not obvious to me whether this is the convolution of two functions?

Thank you for any help.

Answer 1

It is not right away the convolution of two functions but you can split into two fractions and use convolution on each one and add the results .