SOLUTION: Hello, Sorry if this has the wrong topic, I wasn't sure which one to choose, the question I am stuck on is; Rx+Ro= ((Rf-Ri)/Rf)(Rc+Ro) By multiplying the rhs brackets and col

Algebra ->  Equations -> SOLUTION: Hello, Sorry if this has the wrong topic, I wasn't sure which one to choose, the question I am stuck on is; Rx+Ro= ((Rf-Ri)/Rf)(Rc+Ro) By multiplying the rhs brackets and col      Log On


   

Question 1084727: Hello, Sorry if this has the wrong topic, I wasn't sure which one to choose, the question I am stuck on is;
Rx+Ro= ((Rf-Ri)/Rf)(Rc+Ro)
By multiplying the rhs brackets and collecting terms, show that:
Rx=((Rf-Ri)/Rf)Rc-(RoRi/Rf)
I just can't get my head around it at all, I can't even get started, any help would be greatly appreciated!
Terms are Rx, Rf, Ri, Ro
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'm going to substitute variables to make it more readable and then substitute back at the end.
A=R%5Bx%5D
B=R%5Bo%5D
C=R%5Bf%5D
D=R%5Bi%5D
E=R%5Bc%5D
So,
A%2BB=%28%28C-D%29%2FC%29%28E%2BB%29
A=%28%28C-D%29%2FC%29%28C%2BB%29-B
A=%28%28C-D%29%2FC%29%28C%2BB%29-B%28C%2FC%29
A=%28%28C-D%29%28C%2BB%29-BC%29%2FC%29
A=%28C%5E2%2BBC-CD-BD-BC%29%2FC%29
A=%28C%5E2-CD-BD%29%2FC%29
A=%28C%5E2-D%28B%2BC%29%29%2FC
.
.
.
What are you looking to get to?