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Math Lesson 6.3.1 - The Meaning of a Binomial

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Welcome to our Math lesson on The Meaning of a Binomial, this is the first lesson of our suite of math lessons covering the topic of Special Algebraic Identities Obtained through Expanding, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.

The Meaning of a Binomial

If an algebraic expression contains two terms added or subtracted to each other, it is called a binomial. We will discuss binomials more extensively in chapter 11. For now, we focus only on the definition. Thus, by definition, a binomial is an algebraic expression of the sum or the difference of two terms.

In symbols, a binomial is written as a + b, where a and b may represent a single number, a single variable, a product of numbers and variables where the latter can be raised in a certain power, etc.

For example, in the binomial

5xy3 - x

we have

a = 5xy3

and

b = x

In this tutorial we will discover eight algebraic identities based on the binomial structure that are widely used in many exercises involving expressions. Let's explain them one by one.

More Special Algebraic Identities Obtained through Expanding Lessons and Learning Resources

Expressions Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
6.3Special Algebraic Identities Obtained through Expanding
Lesson IDMath Lesson TitleLessonVideo
Lesson
6.3.1The Meaning of a Binomial
6.3.2Square of a Sum
6.3.3Square of a Difference
6.3.4Product of Conjugates
6.3.5Cube of a Sum
6.3.6Cube of a Difference
6.3.7Expanding the Algebraic Expression of the Form (a - b) · (a2 + ab + b2)
6.3.8Expanding the Algebraic Expression of the Form (a + b) · (a2 - ab + b2)
6.3.9Expanding Expressions of the Form (a + b + c)2
6.3.10Combining Special Identities

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  7. Continuing learning expressions - read our next math tutorial: Factorising

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