This is another visual and geometric way of representing the algebraic identity (a-b)^2. It uses basic plane figures such as squares and rectangles for the proof. The first visual proof of the algebraic identity a minus b squared can be found on the following link: 🎥 https://www.youtube.com/watch?v=W9vvV... Prerequisite concepts: - area of a square - area of a rectangle - algebraic identity (a+b)^2 = a^2 + 2ab + b^2 In this video, the algebraic identity (a-b)^2 = a^2 - 2ab + b^2 is again derived and explained geometrically. The visual proof starts with a rectangle with sides a and b. There are four (4) rectangles of the same dimensions used in the proof. The rectangles then are used to form quadrilaterals, which are proven to be squares, with areas (a+b)^2 and (a-b)2, respectively. The second area also used the areas of the other figures arriving at the algebraic identity (a - b)^2 = a^2 - 2ab + b^2. 🕘Video Sections🕘 0:00 Intro 1:49 Prerequisite concept 2:49 Start of the visual proof of a minus b whole squared 3:08 Four rectangles used in the visual proof 3:33 The four rectangles form a quadrilateral 4:32 Start of the derivation of the algebraic identity a minus b squared 8:17 The algebraic identity (a-b)^2 = a^2 - 2ab + b^2 8:29 Questions for today 8:50 Thank you 🎬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 🎥 Algebraic Derivation of (a+b)^2: https://bit.ly/3g6wo0P 🎥 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 🎥 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 ----------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #sequencesandseries #arithmeticprogression #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills ----------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you! ➡️https://bit.ly/3cdbSun ----------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems
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