Question

Use division algorithm to show that the cube of any positive integer is of the from 9m +1 or 9m +8?

Answer 1

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Use division algorithm to show that the cube of any positive integer is of the from 9m +1 or 9m +8?

ans:- 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: ... so r is an integer greater than or equal to 0 and less than 3. Hence r can be either 0, 1 or 2.