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n squared x n

n x n x n = n cubed

n x n = n squared

n squared x n = n cubed

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Q: What must you multiply n squared to get n cubed?
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What must you multiply n squared by to get five n cubed?

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How is it that 3 is the only prime that is before a square number?

Take any positive integer n. If you square it, and subtract 1, you get (x squared - 1). If you take (n - 1) and (n + 1), and multiply them together, you get n squared - n + n - 1, which is the same as (n squared - 1).


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