use Euclid division lemma to show that the cube of any positive integer is either of the form 9m or 9m-3
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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.
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ACCORDING TO THE QUESTIONUse 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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