can we take the $\alpha$ out of this equation $C = \frac{\alpha}{f_0} + \frac{\alpha}{f_i \times f_0}$

Question

i have the equation shown in the following:

$C = \frac{\alpha}{f_0} + \frac{\alpha}{f_i \times f_0}$

and the relationship between $f_0$ and $f_i$ is as follows

$f_i = f_0 + \alpha$

how can we write the above equation like in this way:

$C = \alpha \times {variables}$, during the variables, I dont want to include the $f_i$. Also, I dont want to inculde the $\alpha$ in the variables

is this possible?

Many Thanks for your help

Answer 1

Why, you're almost there; this is just $$ C = \alpha\left(\frac{1}{f_0} + \frac{1}{f_0(f_0+\alpha)}\right).$$