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Math Tutorial 6.3 - Special Algebraic Identities Obtained through Expanding

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There are 10 lessons in this math tutorial covering Special Algebraic Identities Obtained through Expanding. The tutorial starts with an introduction to Special Algebraic Identities Obtained through Expanding and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Special Algebraic Identities Obtained through Expanding. You can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

  • What is a binomial?
  • How to expand the square of a sum.
  • How to expand the square of a difference.
  • What are conjugate expressions?
  • How to expand the product of two conjugates.
  • How to expand the cube of a sum.
  • How to expand the cube of a difference.
  • How to expand expressions of type (a - b) × (a2 + ab + b2).
  • How to expand expressions of type (a + b) × (a2 - ab + b2).
  • How to expand the square of the sum of three variables.
  • How to combine special identities in the same exercise.

Introduction

We explained in the previous tutorial how to expand algebraic expressions when they contain brackets. Now, we will use this knowledge to learn more about some special algebraic identities that it is important to know when dealing with algebra, as these identities in a certain sense represent the pillars of algebra.

Please select a specific "Special Algebraic Identities Obtained through Expanding" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

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

Whats next?

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  2. Expressions Video tutorial: Special Algebraic Identities Obtained through Expanding. Watch or listen to the Special Algebraic Identities Obtained through Expanding video tutorial, a useful way to help you revise when travelling to and from school/college
  3. Expressions Revision Notes: Special Algebraic Identities Obtained through Expanding. Print the notes so you can revise the key points covered in the math tutorial for Special Algebraic Identities Obtained through Expanding
  4. Expressions Practice Questions: Special Algebraic Identities Obtained through Expanding. Test and improve your knowledge of Special Algebraic Identities Obtained through Expanding with example questins and answers
  5. Check your calculations for Expressions questions with our excellent Expressions calculators which contain full equations and calculations clearly displayed line by line. See the Expressions Calculators by iCalculator™ below.
  6. Continuing learning expressions - read our next math tutorial: Factorising

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