Question

use euclid's division lemma to show that the cube of any positive integer is of the form 9m or 9m+1 or 9m+8

Answer 1

let a be any positive integer which is divided by b=9
a=9q+r
r=0,1,2,3,4,5,6,7,8
a=9q
a =9q+1
a =9q+2

Answer 2

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