I don't know why I can't figure it out but in that attatched picture I wanted to know how the equation 1.15 was manipulated into 1.16
I looked before this to see is they used anything to plug in but couldn't find any help. Just need to be pointed in the right direction thanks everyone

 

I don't know why I can't figure it out but in that attatched picture I wanted to know how the equation 1.15 was manipulated into 1.16
I looked before this to see is they used anything to plug in but couldn't find any help. Just need to be pointed in the right direction thanks everyone

Hi,

Dont they just multiply top and bottom by the denominators in the bottom set?

For example, if we had:
y=1/(2/Re)

then we multiply the top and bottom of the right side above by Re to get:
y=Re/2

I just took a quick look though.
Note in this example the 'top' is 1 and the 'bottom' is 2/Re, and when we multiply 1 by Re we get Re in the top and when we multiply 2/Re by Re we get 2 in the bottom, hence we end up with just Re/2.

In your question however there is also some factoring after the top and bottom multiplications. I assume you know how to factor short algebraic expressions.

 

I don't know why I can't figure it out but in that attatched picture I wanted to know how the equation 1.15 was manipulated into 1.16
I looked before this to see is they used anything to plug in but couldn't find any help. Just need to be pointed in the right direction thanks everyone

What do you need to multiply top and bottom by in order to get (1 + rpi·gm) in the numerator?

What do you then need to multiply top and bottom by in order to get (1 + rpi·gm)RE in the numerator?

I think you need to take some time to strengthen your algebra skills (significantly) because if you don't it is only going to get worse from here.