Hi. I have the following problem:

Show that 1331 is a perfect cube whatever the base b, provided that b is greater than 3.

Now I have shown this by expanding out (b + 1)^3

To show the coefficients as 1331.

But this is the case for base 1 2 and 3 as well. As you get 8, 27, 64. All of which are perfect cubes.

Could someone help me out. Thanks!

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