The combine(S) and horner(p) functions did not work as expected?

Code:

clear i
syms C_F C_L C_GS g_m R_L omega positive
s = i*omega;

Y_in=(1-(s*C_F-g_m)/(1/R_L+s*C_F+s*C_L))*s*C_F+s*C_GS

Y_in = 

Re = real(Y_in)

Re = 

[N,D] = numden(simplify(Re))

N = 

D = 

D-1

ans = 

combine(D-1)

ans = 

horner(D-1)

ans = 

D

D = 

combine(D)

ans = 

horner(D)

ans = 

Behavior:

[Torsten]

Could you explain in a few words what you think does not work as expected ?

[Rarity Brown]

Thank you for your reply.

The desired output is in the form of a product of factors that has been combined, like the larger font size formulas on the right side of the image. (a+b)^2=a^2+2ab+b^2

Or is this combination not the expected behavior of the combine function? In that case, is there any function to reach my desired output?

[Torsten]

simplify(combine(D-1))

For combine(D), this doesn't work.

Answer 1

[Ganesh]

Hi @Rarity Brown,

The combine function is meant to act as a way to combine the powers of an equation. The horner function will be useful when you have a nested "polynomial" expression. In your case, neither of these functions will be of use. You can infact achieve what youre trying to do with "simplify()".

clear i
syms C_F C_L C_GS g_m R_L omega positive
s = i*omega;
Y_in=(1-(s*C_F-g_m)/(1/R_L+s*C_F+s*C_L))*s*C_F+s*C_GS;
Re = real(Y_in);
[N,D] = numden(simplify(Re));

simplify(D-1)

ans = 

[Rarity Brown]

greatly appreciated!