Q:

Simple algebra question - separating fractions

How does the following come about? I'm completely lost. Can anyone help me fill in the steps in between?
$$
\frac{s+2}{s(s+1)} = \frac{2}{s} - \frac{1}{s+1}
$$
I figured that 
$$
\frac{s+2}{s(s+1)} = \frac{s}{s(s+1)} + \frac{2}{s(s+1)} = \frac{1}{s+1} + (\text{not sure})
$$

A:

HINT:
Using Partial Fraction Decomposition, 
$$ \frac{s+2}{s(s+1)}=\frac As+\frac B{s+1}$$
$$ \implies s+2=A(s+1)+Bs$$
$$ \implies s+2=s(A+B)+A$$
$$ \text{Now, Compare the constants & the coefficients of $s$}$$

