How to sort solution of multiple terms by variables?

I have a solution which consists of multiple terms. Some of these terms have a common factor (a variable created with "syms", i.e. "k"). I want to sort these by that variable so that I get: k(term1 + term2) instead of term1*k + term2*k. I want to do this for multiple variables and terms (of the same solution). I tried simplify() but this didn't work. I use MATLAB R2018a.

What I have:

syms m s k X Y1 Y2 F1 F2

eqns = [m*s^2*Y1 == -k*(Y1-X)-k*(Y1-Y2)+F1 , m*s^2*Y2 == -k*(Y2-Y1)+F2];

vars = [Y1 Y2];

[Y1,Y2] = solve(eqns,vars)

The solution:

Y1 = (F1*k + F2*k + X*k^2 + F1*m*s^2 + X*k*m*s^2)/(k^2 + 3*k*m*s^2 + m^2*s^4)

Y2 = (F1*k + 2*F2*k + X*k^2 + F2*m*s^2)/(k^2 + 3*k*m*s^2 + m^2*s^4)

What I want: sort by X, F1 and F2 like below

Y1 = ((m*k*s^2+k^2)*X + (m*s^2+k)*F1 + k*F2)/(k^2 + 3*k*m*s^2 + m^2*s^4)

Y2 = (k^2*X + k*F1 + (m*s^2+2*k)*F2)/(k^2 + 3*k*m*s^2 + m^2*s^4)

Is there a way to do this?

Thanks in advance!

Answer 1

[Nikolai Jakuba]

Look here: https://de.mathworks.com/help/symbolic/collect.html.

[Arno Kinnen]

This worked, only now I have 3 collected terms with 3 times the same denominator. Is there a way to get these terms together on that denominator?