Binomial Cube

A 3D cube that comes apart shows the cube of a sum and of a difference, and the sum and difference of cubes. Change a and b and turn the cube.

Open the app

Free, runs in the browser, no sign-in or installation.

Subject
Mathematics
Area
Algebra and Functions
Level
Secondary school
A cube with edge a + b taken slightly apart into pieces a³, a²b and ab², beside the formula for (a + b)³

What you can do

  • Choose (a + b)³, (a − b)³, a³ − b³ or a³ + b³, and set a and b to whole numbers from 1 to 6.
  • Take the cube apart with a button or the Gap slider, drag to turn it and use the mouse wheel to resize it.
  • Tap a term of the formula or a piece of the cube to highlight the matching pieces; the formula is also worked out with your numbers.
  • Show or hide the labels on the pieces, their volumes and the edge lengths.
  • Download the view as a PNG with a white or transparent background.

More apps: Algebra and Functions

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