I have this expression:
$$PB=\frac{(R3 + R4) R6}{R4 R5 + R4 R6 + C2 R2 R3 R5 S + C2 R2 R4 R5 S + C1 C2 R1 R2 R3 R5 S^2 + C1 C2 R1 R2 R3 R6 S^2}$$
I need to put it in this form:
$$PB=\frac{\frac{(R3 + R4) R6}{C1 C2 R1 R2 R3 (R5 + R6)}}{\frac{R4}{C1 C2 R1 R2 R3} + \frac{(R3 R5 + R4 R5)}{C1 R1 R3 (R5 + R6)}S + S^2}$$
I made this code:
In[]:T=(R3 + R4) R6/(R4 R5 + R4 R6 + C2 R2 R3 R5 S + C2 R2 R4 R5 S + C1 C2 R1 R2 R3 R5 S^2 + C1 C2 R1 R2 R3 R6 S^2);
Den = Cancel[Collect[Denominator[T] /aux, S]]
And I obtained as output:
$$\frac{R4}{C1 C2 R1 R2 R3} + \frac{(R3 R5 + R4 R5)}{C1 R1 R3 (R5 + R6)}S + S^2$$
Then I made:
In[]:Num = Cancel[Numerator[T]/aux]
And I obtained as output:
$$\frac{(R3 + R4) R6}{C1 C2 R1 R2 R3 (R5 + R6)}$$
But when I made:
PB=Num/Den
The output was:
$$\frac{(R3 + R4) R6}{C1 C2 R1 R2 R3 (R5 + R6)(\frac{R4}{(C1 C2 R1 R2 R3)} + \frac{(R3 R5 + R4 R5) S}{C1 R1 R3 (R5 + R6)} + S^2)}$$
My question is: Is there a way to put the expression in the form I need?