could someone please give some geometric explanation about $(a+b)^4$?

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This is Visualisation of binomial expansion up to the 4th power

enter image description here

could someone please give some geometric explanation about $(a+b)^4$, does that move the cube a length of distance? and then compute what?

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The image is a geoalgebraic construction to verify the formula. The assumption is that a four dimensional cube is simply a three dimensional cube multiplied by a one dimensional segment. As long as the observer accepts that you can fill in the four dimensional cube of side $a+b$ with the ingredients given in the formula the message is conveyed.