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 .

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 .

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Isabella 2 weeks 2021-11-19T16:12:19+00:00 2 Answers 0 views 0

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    2021-11-19T16:13:25+00:00

    Answer:

    answer 17 and please follow me

    0
    2021-11-19T16:14:16+00:00

    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

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