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(x+1)^2=x^2+2x+1

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(x-1)^2=x^2-2x+1

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(x+1)(x-1)=x^2-1

 

I also tried to model for (x-1)^3, but it is impossible to show 3 dimensions with algebra tiles, unless I stacked 10 of the x^2 tiles. If I could model this I would need a cube with the side length of x. The answer would be x^3-3x-2

The difference in each of the equations is the negative sign or positive sign and the number of times they are multiplied together which produces slightly different answers.

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