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Squares and Differences


Pick any number. Subtract one from the number to create a second number, and add one to the first number to create a third number. For example, if 6 is my first number, then 5 is my second number and 7 is my third number.

How is the square of the first number related to the product of the second and third numbers? Is this relationship true for all cases? Explain your reasoning.



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