Binomial Theorem

E3D+VET exercise: Binomial Theorem


Creative Commons Attribution

You can adapt, share or use this work commercially as long as you attribute the creator.

Learn more or download attribution tags


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:

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.

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



Issues are used to track todos, bugs or requests. To get started, you could create an issue.


Mini e3dvet logo white bgE3D+VET Project published this design ago