Visual Proof of the Expansion of (a + b)^2

Subject Area: Algebra

Topic: Algebraic Identities - Math Proofs and Derivations of Algebraic Identities

Prerequisites: Areas of plane figures (square and rectangles), simplifying algebraic expressions (combining like terms)

This video is focused on the expansion of a plus b squared explained geometrically. It uses a basic concepts of square and rectangles to verify the algebraic identity. In this video, we explore the visual proof of the identity (a+b)^2 = a^2 + 2ab + b^2. This is the visual geometric representation of the expansion of (a+b)^2 - a plus b whole square. We start with a square with side a+b. Separating a and b on each side of the square, we form four (4) regions - one of which is a square with area a^2, two rectangles with total area of 2ab, and another square with area b^2. The area of the square is (a + b)^2, which is equal to a^2 + 2ab + b^2. If you want to try the visual proof by yourself or you want to share it to others, I included a free template of the square cutouts for the visual proof. It comes with plain white square and also colored ones. Feel free to use them. The file can be downloaded in the following link: 📝https://bit.ly/34Hfukj 🎬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 [Part 1]: https://bit.ly/3fJaSAz 🎥 Visual Proof of Algebraic Identity (a-b)^2 [Part 2]: https://bit.ly/3cbNAB7 🎥 Introduction to Arithmetic Sequence: https://bit.ly/2S3MW1F 🎥 Derivation of the nth term Formula of Arithmetic Progression: https://bit.ly/2SNgikU ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP

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