Use Euclids division Lemma to show that the cube of any positive integer is either of the form `9m ,\ 9m+1` or, `9m+8` for some integer `m` .

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

Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m.

Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m+1 for some integer m.[Hint: Let x be any positive integer then it is of the form 3q,3q+1 or 3q+2 Now square each of these and show that they can be rewritten in the form 3m or 3m+1]

Using Eulids division lemma, show that the cube of any positive integer is of the form 9m , or ( 9m+1) or ( 9m+8) for some integer m.

Show that the square of any positive integer is either of the form "4m" or "4m+1" for some integer "m.

Using Eulid's divison lemma, show that the square of any positive interger is either of the form 3m or ( 3m+1) for some integer m. |

Show that the square of any positive integer is either of the form 4q or 4q + 1 form some integer q

Show that cube of any positive integer is of the form 4m, 4m+1 or 4m+3, for some integer m.

Show that the square of any positive integer cannot be of the form 5m + 2 or 5m +3 for some integer m .

Show the any positive integer is of the form 3m or ( 3m +1) or ( 3m +2) for some integer m .