Show that the cube of a positive integer is of the form 9q + r where q is an integer and r = 0,1,2,3,4,5.
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hey!!
^_^
________
▪let a be any postive have integer
b=6
▪by euclid 's division lemma,
a=bq+r, 0=< r < b
a= 6q+r,0=< r
▪when
r=0,a = 6q= (6q)3 ---> a3 = 216q3 =6(36q3 )=6q(where m is = 6q3 )
▪by similar manner u can prove for
r=1,2,3,4,5
▪and u will get the proof
hope help u tnkz
^_^
________
▪let a be any postive have integer
b=6
▪by euclid 's division lemma,
a=bq+r, 0=< r < b
a= 6q+r,0=< r
▪when
r=0,a = 6q= (6q)3 ---> a3 = 216q3 =6(36q3 )=6q(where m is = 6q3 )
▪by similar manner u can prove for
r=1,2,3,4,5
▪and u will get the proof
hope help u tnkz
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