Understanding and Manipulating Mathematical Terms | A Comprehensive Guide for Simplifying Expressions and Solving Equations

Term

In mathematics, a term refers to a single element in an algebraic expression or equation

In mathematics, a term refers to a single element in an algebraic expression or equation. It can be a number, a variable, or a combination of both, separated by mathematical symbols, such as addition (+) or subtraction (-). Each term has its own specific role and value in the expression.

For example, in the expression 3x^2 + 5xy – 2, there are three terms: 3x^2, 5xy, and -2.

– The first term, 3x^2, consists of the number 3 multiplied by the variable x raised to the power of 2. It represents a squared term that can be simplified further, if necessary.
– The second term, 5xy, combines the numbers 5 and the variables x and y, multiplied together. It represents a term with two variables.
– The third term, -2, is a simple number, without any variables attached. It represents a constant term.

It is important to understand the concept of terms when simplifying expressions, factoring, expanding, or solving equations, as they provide a way to break down and manipulate mathematical expressions more effectively.

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