In symbolic expression, how can I factorize terms that has common variables?

I have this expression

det =

I used collect but it returns the following

collect(det,x)

ans =

So, It has been factorized only with resect to x and x.^2 variables.

Is there a way to obtain the equation with the factorization with respect to all the variables?

Thank you ivery much in advance for your help!

Laura

[Walter Roberson]

You can pass a vector of variable names to collect()

[laura bagnale]

Dear Walter,

thank you very much.

I did so and it works:

z = collect(det, [x,y])

z =

Could you also suggest a way to assign a numeric value for each of the monomial coefficient?

For example I would like that:

= -1.07

= -0.02072

..... and so on.

Thank you very much for your help.

Laura

[laura bagnale]

Sorry,

of course they are not monomial but polynomial coefficients for my quadratic function!

Thank you very much!

[Walter Roberson]

syms a b c d e f g h i l x y
z = (2*a*h - 2*c*f)*x^2 + (4*a*g-4*b*f)*x*y + (d*h - c*i - 2 * e * f + 2 * a * l) * x

z = 

subs(z, 2*a*h-2*c*f, sym('-1.07'))

ans = 

But I suspect you were looking for something more like

[C, p] = coeffs(z, x, 'all')

C = 

p = 

subs(z, C(1), sym('-1.07'))

ans = 

[laura bagnale]

Dear Walter,

Thank you very much for your help. The first approach that you suggested was that I was looking for.

This is very helpful, like all your previous suggestions.

Kind Regards,

Laura

[laura bagnale]

How Can I accept or validate your answer?

Thanks,

Laura