Use division algorithm to show that the cube of any positive integer is of the
form 9m, 9m+1 or 9m+8.​

Use division algorithm to show that the cube of any positive integer is of the
form 9m, 9m+1 or 9m+8.​

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  1. Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m,9m+1 or 9m+8

    Answer: Let us consider a and b where a be any positive number and b is equal to 3. …

    Case 1: When r = 0, the equation becomes. a = 3q. …

    Case 2: When r = 1, the equation becomes. …

    Case 3: When r = 2, the equation becomes.

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