# How did this rewrite happen?

1. Mar 10, 2009

1. The problem statement, all variables and given/known data

this is the last step to a laplace transform, but i'm stuck..
$$\frac{(3-2x)}{((s+3)2)+4}$$
to
-2$$\frac{(s+3)}{(((s+3)2)+4)}$$9/2 $$\frac{2}{((s+3)2)+4}$$

thanks

Last edited: Mar 10, 2009
2. Mar 11, 2009

### tiny-tim

(use ^ not SUP in LaTeX )

$$\frac{(3-2s)}{((s+3)^2)+4}$$

= $$\frac{(9 - 6 - 2s)}{((s+3)^2)+4}$$

= -2$$\frac{(s+3)}{(((s+3)^2+4)}$$ + 9/2 $$\frac{2}{((s+3)^2)+4}$$

3. Mar 11, 2009