The square of a difference
- Author:
- aras
A geometrical proof of the square of a difference identity.
Dragging the rectangles to check the similitude of the areas
Drag the sliders to select m and n take values
The orange squares areas are and
The pink square area is
Each green rectangle area is
1.- Drag the orange squares and put them together so that both points A coincide
Both squares together are:
2.- Drag the green rectangle so that both points B coincide
3.- Drag the other rectangle so that both points C coincide
The remaining orange area is:
4.- Compare it to the pink area