Which approach is suggested for simplifying expressions in equations?

Utilizing variables like "p" to streamline the expression is advantageous because it allows for a more flexible and general representation of the equations. When variables are introduced, they can effectively encapsulate complex patterns and relationships within the expressions. This approach simplifies the manipulation of the equations, making it easier to see how different elements relate to one another without getting bogged down in specific numerical values.

This strategy is particularly useful in algebra, where the use of variables can help consolidate multiple terms or streamline calculations by focusing on their relationships rather than individual components. When representing quantities or relationships with variables, it also becomes possible to substitute specific values later, thus maintaining the generality of the expression while allowing for specific evaluations as needed.

In contrast, other approaches might lead to unnecessary complexity or restrictions that do not facilitate the simplification process.