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Cube of a Binomial - Volume Model

A cube with side length can be decomposed into: - a cube of side length - a cube of side length - 3 congruent prisms with square base of side length and height - 3 congruent prisms with square base of side length and height Use the slider to decompose the cube into these parts. Drag the point that defines the lengths of and to explore the dissection. Right click and drag or use the predefined gestures for mobile devices to rotate 3D View.

Use the formula displayed in the app above to expand . If you don't remember the formula, how can you expand the binomial above?

If you expand , you get

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This polynomial is equal to...

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