Question

Help plz, needed so much(^_^)

Answer 1

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

Answer 2

@ahaines14 , @apoorvk , @Eyad or any1 help:)

Answer 3

Itna sannata kyun hai bhai :o

Answer 4

Let us start with the smallest cube number 8

Next number is 27

27 = 9m

Next number is 64

64 = 9m + 1

Next number is 125

125 = 9m + 8

Answer 5

Got it ?

Answer 6

But show this by Euclid's Division Lemma @Eyad

Answer 7

@TheViper :lol this is Euclid’s division lemma ...
Euclid’s division lemma states that
If a positive integer divides the product of two other positive integers, and the first and second integers are coprime, then the first integer divides the third integer.

Answer 8

we knw dt a=bq+r,where 0 </=r<b.
here b=3
thrfore r=0,1,2

Answer 9

nw case 1
wer r=0
a=3q
a^3=(3q)^3
=27q^3
=9(3q^3)
=9m, wer m=3q^3

Answer 10

similarly prove fr case 2 wer r=1 nd case 3 wer r=2

Answer 11

undrstnd??

Answer 12

Oh! I got it thanx both @prasannalakshmi & @Eyad

Answer 13

nytime!!

Answer 14

yw.