Hello, I'd like to know how in developing, factoring or simplifying, we can move from:

goo.gl/zZdzSs

ACDE are strictly positive real constants.
I is an imaginary number.

If you visit wolframalpha.com and enter

a + (1 / ( (1 / (c*d*i)) + d*e*i) )

it will show you how it simplifies it. The "show details" button will explain the steps.

Maybe it will clarify the situation.

Thanks a lot for your help .

I'll visit it

To understand how to factor or simplify expressions involving complex numbers and real constants, let's break down the given expression step by step:

1. Start with the given expression: goo.gl/zZdzSs

2. Notice that there is a common factor in the numerator and denominator, which is the complex number I. We can divide each term in both the numerator and denominator by I to simplify the expression.

3. After dividing by I, the expression becomes:
(ACDE - BCDE)/I

4. Next, let's factor out the common term of ABDE from the numerator:
(ABDE (C - B))/I

5. Finally, we can simplify further by canceling out the common factor of ABDE:
(C - B)/I

Now you have simplified the given expression to (C - B)/I, where A, B, C, D, E are positive real constants.