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Can someone explain to me in detail what a difference of cubes and a sum of cubes is with an example. explain the pattern that

Can someone explain to me in detail what "a difference of cubes" and a "sum of cubes" is with an example.

explain the pattern that allows you to recognize the binomial or trinomial as having special factors. Provide an example of a binomial or trinomial factorization using the special technique you explained.

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