use eclipse division lemma to show that the square of any positive integer of the form 3M or 3M + 1 for some integer M ?
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Let 'a' be any positive integer. On dividing it by 3 , let 'q' be the quotient and 'r' be the remainder. On squaring both the sides, Therefore , the square of any positive integer is either of the form 3m or 3m+1.
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