Hi,

I am half way through a control question and there is a bit of algebra bashing I can;t get my head around. I am trying to go from:

$\displaystyle \frac{4z^{2} + z + 1 }{(z + \frac{1}{2})(z + \frac{1}{4} )}$

to

$\displaystyle 8 + \frac{12z}{z + \frac{1}{2}} + \frac{-16z}{z + \frac{1}{4}}$

It needs to be in this form for control analysis but I am unsure on the steps to get to it, I have tried normal partial fractions to no avail

Please help

Jez