Question

using euclid's division lemma the cube of any positive integer will of the form 4m,4m+1

Answer 1

Let to be positive integer and b=}4
Then.. by algorithm, a=4q+r for some integer q>0 and r=0,1,2,3
so . a=4m and 4m+1
by using formula
(a+b)³
(4m)12=}64m³=4(16m³)=}4m
where m is integer
(4m+1)=64m³+96m²+48m+8
=}4(16m³+12m²+3)+1
=}4m+1, where m is integer




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