Simplify Symbolic Expressions(contain14 syms)

Hello. I want to simplify symbolic expressions as much as possible, whether get factor from it or not, i just want to simplify it as much as possible, any body can help me? Thanks.

Answer 1

[Sourabh]

Hey @ARMIN M

To simplify symbolic expressions in MATLAB, you can use the “simplify” function from the Symbolic Math Toolbox. This function performs algebraic simplification and can handle various types of expressions, including polynomials, trigonometric functions, and logarithms.

Kindly refer the example of how to use the “simplify” function:

% Define symbolic variables 
syms x a b c 

% Example expressions 
expr1 = sin(x)^2 + cos(x)^2; 
expr2 = (log(x^2 + 2*x + 1) - log(x + 1)) * sqrt(x^2); 

% Simplify the expressions 
simplified_expr1 = simplify(expr1); 
simplified_expr2 = simplify(expr2); 

% Display the results 
disp(simplified_expr1); % Should output 1 
disp(simplified_expr2); % Should output a simplified form 

Output:

1

You can use additional parameters to further simplify the equation. For example, when you set “IgnoreAnalyticConstraints” to true, the function will apply simplification rules that permit combining powers and logarithms, potentially leading to a simpler expression. 

simplified_expr2 = simplify(expr2,'IgnoreAnalyticConstraints', true); 

Output:

Another approach that can improve simplification is to use “Steps” parameter that controls how many steps “simplify” takes.

simplified_expr2 = simplify(expr2, 'Steps', 10); % Simplifies with 10 steps 

For more information and examples on “simplify”, kindly refer the following MATLAB documentation:

https://www.mathworks.com/help/symbolic/simplify-symbolic-expressions.html