I have an expression as follows:
(ro*(RF + Rpi) + RC*(RF + ro + Rpi))/(RC + ro)
Now I would like to simplify it more to something like this:
RF + Rpi + (ro*RC)/(ro + RC)
I tried to use FullSimplify function but it doesn't work. Could anyone tell me how to do this? Thank you.
PS: I fixed a mistake.
ClearAll[ro, RF, Rpi, RC, Rpi]; expr = (ro*(RF + Rpi) + RC*(RF + ro + Rpi))/(RC + ro); want = ro + Rpi + (ro*RC)/(ro + RC); Simplify[expr - want]
givesRF - ro
So the two expressions are not mathematically equivalent? $\endgroup$ClearAll[ro, RF, Rpi, RC, Rpi]; expr = (ro*(RF + Rpi) + RC*(RF + ro + Rpi))/(RC + ro); t0 = Apart[expr]; t1 = Apart[t0[[1]]]; (Simplify[t1[[1]] + t1[[3]]]) + t1[[2]] + Last@t0
which gives !Mathematica graphics $\endgroup$