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:
