Question

if a+b+c is divisible by 6 then prove that a^3 + b^3 + c^3 is also divisible by 6

Answer 1

Answer:

suppose

a=1, b=2, ,c=3

a+b+c=6

this is divisible by 6

a^3=1

b^3=8

c^3=27

a^3 + b^3 + c^3=36

also divisible by 6