2^3=4.2 (m=2) Operator 4m
4^3=4.16 (m=16) Operator 4m
6^3=4.54 (m=54) Operator 4m
All the even number is the multiple of 2 hence cube of any even number is divisble by 8 and 4 divides 8
Since 4m is one of the true operator (proved)
In an odd cubic expression like
3^3=4.7+1 (m=7) Operator 4m+1
5^3=4.31+1 (m=31) Operator 4m+1
Cube of any odd number is an odd number
oddnumber=even number+1
As For 4m is divide by 2 Then every number 2m+1 is true but If we take 4m+1 Then it will be also true where
m=1/2 x R(R is any value) thus 4m+1 is true(proved)
In the same manner 4m+3 is also true for any cubic expression
Since Proved.