multiplying
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Knowing the highest common factors of numbers helps to reduce fractions to their lowest terms Factoring helps to find the lowest common multiple of numbers which is useful when adding or subtracting fractions with different denominators.
There are several things you can do to simplify expressions. Specifically for expressions with several terms, two things you can do is to combine similar terms (terms that have the same combination of variables), and then (usually after combining), see if you can apply one of the common methods of factoring, such as looking for common factors, looking for a perfect cube, factoring the difference of squares, the sum or difference of cubes, etc.
6p - pq 7pr factorizing = -1
The structure of an expression, including its terms, operators, and grouping symbols, provides insight into its mathematical relationships and properties. By analyzing this structure, one can apply various algebraic techniques such as factoring, distributing, or combining like terms to rewrite the expression in different forms. Additionally, understanding the expression's structure allows for the identification of equivalent forms, such as simplifying fractions or converting between standard and vertex forms in quadratics. Overall, the organization of an expression serves as a guide for exploring alternative representations and simplifications.
When you have an algebraic expression, the term is "reducing" the expression when you write the expression in fewer terms or smaller multiples.