This video is focused on how to verify the expansion of a plus b squared, which is equal to a^2 +2ab + b^2, using algebraic methods.

The focus of this video is on the derivation of the algebraic identity (a+b)^2 = a^2 + 2ab + b^2. It includes prerequisite concepts needed for the derivation with corresponding examples.

The algebraic expansion is presented in a clear and step-by-step manner. The process involvees the use of the multiplication law of indices and the distributive property of multiplication. The algebraic identity is verified at the end of the expansion. The algebraic identity (𝑎+𝑏)^2=𝑎^2+2𝑎𝑏+𝑏^2 can be used as a formula guide in finding the expanded form of the square of any binomial.

🕘Video Sections🕘
0:00 - Intro
0:41 - Visual (geometric) proof of the algebraic identity (a+b)^2=a^+2ab+b^2
1:12 - Algebraic derivation of the identity
1:25 - Prerequisite concepts needed for the derivation
1:50 - Multiplication Law of Indices
2:11 - Examples on multiplication law of indices
2:45 - Distributive property of multiplication
3:00 - Examples on distributive property of multiplication
4:27 - Start of the algebraic expansion of a plus b squared
6:08 - Algebraic identity (a+b)^2 = a^2 + 2ab + b^2 verified

Questions for today:
1) What have you learned in this video?
2) How can we use the algebraic identity (𝑎+𝑏)^2=𝑎^2+2𝑎𝑏+𝑏^2 to expand the square of any binomial?
*Write your answers in the comment section below.

🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode.

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