TOPIC: Algebraic Identities - Applications of Algebraic Identities - Squaring Binomial Shortcut
PREREQUISITES:
The focus of this video is on expanding the square of a binomial of the form (ax + b)^2 using the algebraic identity (a+b)^2 = a^2 + 2ab + b^2.
The pre-requisite concepts needed for the expansion are:
- Algebraic identity: (a+b)^2 = a^2 + 2ab + b^2
- Multiplication Law of Indices
Here are the links of the videos related to the square of a binomial:
- Visual and geometric proof of the expansion of a plus b squared
🎥 https://bit.ly/2RigGrl
- Derivation of the algebraic identity (a+b)^2 = a^2 + 2ab + b^2
🎥 https://bit.ly/3i9YXxj
There are four examples in the video with various signs of the terms of the binomial. It explains how to square and simplify the following binomials: (2x+3)^2, (2x - 3)^2, (-2x + 3)^2 and (-2x - 3)^2. Each of the items are also solved using direct substitution on the algebraic identity a plus b whole squared is equal to a^2 + 2ab + b^2 and also the fast way of expanding it. An acronym S-2P-S is introduced as an aid for faster expansion of the square of the binomial.
Thank you for watching this video! :)
🕘Video Sections🕘
0:00 Intro
1:09 Math Proofs and Derivations Past Videos
1:56 Prerequisite 1 - Algebraic Identity (a+b)^2
2:49 Prerequisite 2 - Multiplication Law of Indices
3:52 Example 1 - Expansion using the algebraic identity
6:08 Example 1 - Expansion using the easiest method (S-2P-S)
7:26 Example 2 - Expansion using the algebraic identity
8:37 Example 2 - Expansion using the easiest method (S-2P-S)
9:29 Example 3 - Expansion using the algebraic identity
10:32 Example 3 - Expansion using the easiest method (S-2P-S)
11:24 Example 4 - Expansion using the algebraic identity
12:20 Example 4 - Expansion using the easiest method (S-2P-S)
13:05 Summary of the examples of squaring binomials of the form (ax+b)2
13:46 Questions for today
🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode.
Check out other math videos:
🎥 Finding the Specific Terms [Part 1]: https://bit.ly/3yWBA04
🎥 Finding the Specific Terms [Part 2]: https://bit.ly/3yW7A4i
🎥 Finding the Specific Terms [Part 3]: https://bit.ly/3c7uT1t
🎥 Finding the Specific Terms [part 4]: https://bit.ly/3yYx94Y
🎥 Visual Proof of Algebraic Identity (a + b)^2: https://bit.ly/3fJ6stl
🎥 Visual Proof of Algebraic Identity (a - b)^2 [Part 1]: https://bit.ly/3fJaSAz
🎥 Visual Proof of Algebraic Identity (a-b)^2 [Part 2]: https://bit.ly/3cbNAB7
🎥 Derivation of the nth term Formula of Arithmetic Progression: https://bit.ly/2SNgikU
▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP
▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5
▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme
▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC
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