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This process involves determining the numerical value of a mathematical statement, often containing variables, operations, and functions, and presenting the answer in a specified manner. For example, if asked to determine the value of x + 5 when x = 2 and express the result as a decimal, the process would involve substituting 2 for x, performing the addition, and presenting the answer as 7.0.

This skill is fundamental in various fields, including mathematics, science, engineering, and computer programming. It allows for the simplification of complex problems, the derivation of numerical solutions, and the validation of theoretical models. Historically, the development of mathematical notation and algebraic manipulation has been essential to the formalization of this process, enabling precise communication and advancement in these fields.

The process involves finding the greatest common factor (GCF) of the terms 26rs, 52r, and 39rs. The GCF is the largest expression that divides evenly into all given terms. In this case, the coefficients 26, 52, and 39 share a common factor of 13. The variables r and s also appear in each term. The lowest power of r present is r, and the lowest power of s is s. Therefore, the GCF is 13rs. Dividing each term by the GCF yields the factored expression: 13rs(2rs + 4r + 3s).

Factoring expressions plays a crucial role in simplifying algebraic equations and expressions. This simplification allows for easier manipulation and solution of complex mathematical problems. Historically, the development of factoring techniques contributed significantly to advancements in algebra and number theory. It allows mathematicians to break down complex expressions into simpler components, revealing underlying structures and relationships.

Evaluating Expressions & Their Forms

Factoring 26rs, 52r, 39rs: Solution