Expanding the Square of any Binomial the Fastest and Easiest Way

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Syllabus Area: Algebra

Formulae/Concepts Needed:

>Algebraic Identity a plus b squared is equal to a squared plus twice ab plus b squared.

> Multiplication Law of Indices/Exponents

Using the algebraic identity (a+b)^2 = a^2 + 2ab + b^2, we may expand the square of any binomial of the form (ax+b)^2 the fastest and easiest way. I have introduced a new acronym on the video, S-2P-S. There are four (4) examples discussed in the video. They just vary on the signs of the terms of the binomial.

You may find the meaning and a detailed use of this acronym in the following video:

Note: This acronym is my own. You may device your own acronym or method to easily expand the square of binomials.

To better enrich your concepts on algebraic expansions, I would recommend you to recall also the geometric proof of the expansion of (a+b)^2:

Here is also the algebraic way of deriving the identity (a+b)^2 = a^2 + 2ab + b^2.

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