Simplfy an Algebraic Expression by Recognizing Like Terms

"Similar terms" refers to a single term with the same variable. In addition, any variables in "similar terms" are promoted to the same force

For example, 3x and 10x are similar terms (both have the variable x, which is a power of 1). 14a2 and ba2 are also the same terms (both have the variable a and a power of 2).

Addition and subtraction of algebraic expressions have very simple properties. Similar terms are necessary to allow you to add and subtract expressions. A similar term is a term of a group of variables that contains the same variable or the same index, regardless of its numerical coefficient. Example: Comparison: 5 - 3 = 2 and 3 - 5 = - 2 2 - 2 Comparison: 1 × 2 = 1 and 2 × 1 = 2/1 = 2 1 2 2 Related Attributes Associated attributes can also be applied I will. Addition and multiplication. The associated attribute indicates that the order in which the terms are grouped is not important. Related words come from association. This means a union, connection, combination, or union. Additional related properties For example, adding a sum of 2 and 10 plus 7 adds 19. a + (b + c) = (a + b) Adding 7 first adds the same answer 2 Together and add 10 7 + (2 + 10) = 7 + 12 = 19 and (7 + 2) + 10 = 9 + 10 = 19.

Click the link below to go directly to the relevant section. What is algebra? Mathematical properties of arithmetic real numbers in algebraic terms

Understanding the nature of algebra is important to learn how to simplify algebraic expressions. When simplifying and solving algebraic problems, or when calling algebraic problems, you must be able to understand the substitution characteristics when you simplify the expression. Attribute assignment (also called distribution) is applied to apply multiplication between two or more terms in parentheses and to remove parentheses. Deleting parentheses from distribution properties makes algebraic expressions much easier. The number before the variable in the term is called a coefficient (Dugopolski, M. (2012). Exchange attribute makes it possible to move a term to another position in the expression). Similar terms should have the same variable raised to the same power or use the same index.