This is an easy problem that I don't know why I'm having trouble with it

[Grayfox8604]

Homework Statement

So I've been doing some homework and I came to a problem that I'm not getting. I know it's simple math but what am I forgetting? The question is:
(R + sL)(1/sC)

What I did is:
(R/sC)+(sL/sC)= (R+sL)/sC= (R+L)/C=?

But the answer is (1/C)(s + R/L). So what did I do wrong and could you show me step by step on how to get that answer?

 

[whybother]

You can't factor out the s like that, there is no sR term, so you shouldn't be getting (R+sL)/sC= (R+L)/C

edit: But yes, you really should check you typed the answer/problem correctly...

 

[qntty]

$$\frac{1}{sC}\left(R + sL\right)=\frac{R}{sC}+\frac{sL}{sC}=\frac{R}{sC}+\frac{L}{C}=\frac{1}{C}\left(\frac{R}{s}+L\right)$$

You need to cancel things with every term when you're simplifying fractions. And are you sure you typed the answer correctly?