Math Lesson 12.3.1 - The Square and the Cube of a Binomial

Please provide a rating, it takes seconds and helps us to keep this resource free for all to use

Welcome to our Math lesson on The Square and the Cube of a Binomial, this is the first lesson of our suite of math lessons covering the topic of Binomial Expansion and Coefficients, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.

A Recap of the Square and the Cube of a Binomial

In the previous chapter, we explained that the term "binomial" refers to a polynomial containing two terms. For example,

are all binomials, as they contain two terms each.

On the other hand,

are not examples of binomials, as the first expression contains three terms and the rest contain a single term.

In the previous chapter (but not only), we also have explained how to expand the square and the cube of a binomial. Thus, if we denote the terms of a binomial by a and b, the square of a binomial gives after expanding it

and for the cube of a binomial, we obtain after expanding

We have explained why these expansions are true in tutorials 6.3, 6.4, 8.2, 9.1, etc. Recall the FOIL Rule used to expand expressions in brackets, where all terms of a particular expression inside the brackets multiply all terms of the other expressions.

More Binomial Expansion and Coefficients Lessons and Learning Resources

Whats next?

Enjoy the "The Square and the Cube of a Binomial" math lesson? People who liked the "Binomial Expansion and Coefficients lesson found the following resources useful:

1. Square Cube Binomial Feedback. Helps other - Leave a rating for this square cube binomial (see below)
2. Sequences and Series Math tutorial: Binomial Expansion and Coefficients. Read the Binomial Expansion and Coefficients math tutorial and build your math knowledge of Sequences and Series
3. Sequences and Series Video tutorial: Binomial Expansion and Coefficients. Watch or listen to the Binomial Expansion and Coefficients video tutorial, a useful way to help you revise when travelling to and from school/college
4. Sequences and Series Revision Notes: Binomial Expansion and Coefficients. Print the notes so you can revise the key points covered in the math tutorial for Binomial Expansion and Coefficients
5. Sequences and Series Practice Questions: Binomial Expansion and Coefficients. Test and improve your knowledge of Binomial Expansion and Coefficients with example questins and answers
6. Check your calculations for Sequences and Series questions with our excellent Sequences and Series calculators which contain full equations and calculations clearly displayed line by line. See the Sequences and Series Calculators by iCalculator™ below.
7. Continuing learning sequences and series - read our next math tutorial: Infinite Series Explained

Help others Learning Math just like you

Please provide a rating, it takes seconds and helps us to keep this resource free for all to use

We hope you found this Math tutorial "Binomial Expansion and Coefficients" useful. If you did it would be great if you could spare the time to rate this math tutorial (simply click on the number of stars that match your assessment of this math learning aide) and/or share on social media, this helps us identify popular tutorials and calculators and expand our free learning resources to support our users around the world have free access to expand their knowledge of math and other disciplines.

Sequences and Series Calculators by iCalculator™

• Arithmetic Progression First Term Calculator
• Arithmetic Progression Two Terms Calculator
• Geometric Progression First Term Calculator
• Geometric Progression Two Terms Calculator
• Binomial Coefficients Calculator
• Infinite Geometric Series Calculator