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Binomial Theorem

E3D+VET exercise: Binomial Theorem

Education

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Description

This is part of the series of 30 exercises developed during the E3D+VET program. The aim of this Erasmus+ program is the immersion in 3D printing of VET centres (website: https://www.e3dplusvet.eu/).

The binomial theorem is a fundamental theorem of algebra that is used to expand expressions of the form: (a + b) n, where n can be any natural number.

Due to the abstract nature of the expression, this 3D model can help the student to have a geometrical understanding of this formula for exponents 2 and 3.

The model is composed of 8 parallelepipeds and a square base, which together in the appropriate way form a cube.

Pieces:
1 cube of dimensions a^3.
1 cube of dimensions b^3.
3 rectangular parallelepipeds of dimensions a^2xb.
3 rectangular parallelepipeds of axb2 dimensions.
A square base to support it. (a+b+1.5cm)^2

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