How do you find an equivalent expression?

To find an equivalent expression, you can use algebraic manipulation techniques such as factoring, distributing, combining like terms, or applying the properties of operations (like the distributive property or the associative property). Simplifying complex expressions or rewriting them in different forms can also help identify equivalence. Additionally, substituting values for variables can verify if two expressions yield the same result. Always ensure that any transformations maintain the original expression's value for all permissible values of the variables involved.