One form to another! explain!!

Question

ksaimouli · Answer

$$\frac{ 12 }{ z(2-z)(1+z) }$$

misssmartiez · Answer

does the bar stand for fractions or division.

ksaimouli · Answer

From that to this $$\frac{ 4 }{ z }(\frac{ 1 }{ 1+z }+\frac{ 1 }{ 2-z })$$

ksaimouli · Answer

Using partial fractions I don't see how they got that form

misssmartiez · Answer

Alright, hold on someone summoned me -.-' try to get other tutors while I help this girl.

zepdrix · Answer

Well I guess you can do some fancy business like this:$$\large\rm \frac{12}{z(2-z)(1+z)}\quad=\quad \frac{4}{z}\left[\frac{3}{(2-z)(1+z)}\right]$$

zepdrix · Answer

And then just apply Partial fractions to the bracketed portion.

vuriffy · Answer

@zepdrix 
I believe he constructed it correctly, with applied partial fractions shall be determined as the original equation you stated, @ksaimouli.

ksaimouli · Answer

lol, that's it! I did partial fraction for whole thing and got different answer

vuriffy · Answer

It happens, mate. Glad that someone was able to help you clear this up for you. (: