Proving the Algebraic Squares Proof Using an Area Model

Proving the Algebraic Squares Proof Using an Area Model

Assessment

Interactive Video

Mathematics

1st - 6th Grade

Hard

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This video tutorial explains how to prove the formula (A+B)^2 = A^2 + 2AB + B^2 using an area model. It begins by addressing common misconceptions about squaring sums, such as the incorrect belief that exponents can be distributed over addition. The tutorial then introduces the area model as a visual method to understand the expansion of (A+B)^2, breaking it down into four sections of a square. The video concludes by demonstrating how this model can be applied to expand any binomial, reinforcing the identity with practical examples.

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OPEN ENDED QUESTION

3 mins • 1 pt

What new insight or understanding did you gain from this video?

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