Question

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

Answer 1

Answer:

answer 17 and please follow me

Answer 2

Answer:

Step-by-step explanation:

we know that

  euclids division lemma a=bq+r,0 is less than or equal to r is<b

let a be the cube of amy positive integer

                  b=9

               0is less than are equal to r<b

the reminders are 0,1,2,3,4,5,6,7,8

a=9m+0

a=9m+1

a=9m+2

a=9m+3

a=9m+4

a=9m+5

a=9m+6

a=9m+7

a=9m+8

here ask cube of any positive integer

so, 9m,9m+1,9m+8

hence proved