The ‘collect()’ command is a very useful command that you can easily rearrange polynomials and equations in Matlab®. Here, we explain how to do it with a very basic example that is executed in the command window of Matlab®.
How To Use ‘collect()’ Command In MatLab®?
>> syms a y = (a-3)*a^2 + (a-3)*(3/(a-1)) - (a-3)*(2/(a+9)); z = collect(y,a-3) z = (3/(a - 1) - 2/(a + 9) + a^2)*(a - 3) >>
First, we created a symbolic variable ‘a’ with the ‘syms’ command. We can use this variable to construct our equation.
Consider that we have a complex equation or polynomial. We defined it in Matlab® as ‘y’. And we want to collect the all equation inside the ‘a-3’ parenthesis.
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To do it, we used the ‘collect()’ command. We just typed the ‘y’ and ‘a-3’ respectively to define the equation and collecting variable. You can see the result that equation ‘y’ is collected inside the parenthesis of ‘a-3’.
>> syms a b y = (a-3)*b^2 + (a-3)*(3/(b-1)) - (a-3)*(2/(b+9)); z = collect(y) z = ((a - 3)*b^4 + (8*a - 24)*b^3 + (27 - 9*a)*b^2 + (a - 3)*b + 29*a - 87)/(b^2 + 8*b - 9) >>
In this example, we have an equation that has two variables ‘a’ and ‘b’. To obtain a more homogeneous polynomial, we can use the ‘collect()’ command again. Check the answer above.
As you understand the ‘collect()’ command is a very useful command in Matlab® to collect complex equations and polynomials. You can use this command instead of making hand calculations.
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