SOS
2805393
Prove that if for some integers
a, b, c we have that
a3 + b3 + c3 is divisible by 9,
then at least one of the
numbers a, b, c is divisible by
3.
Answers
Answered by
3
Step-by-step explanation:
How can I prove that if a^3+b^3+c^3 is divided by 9 then a+b+c is also divided by 9?
As written by several others before me, this statement is false. But in spirit of Mr. ’s answer, I am also providing another variant for the statement.
The following statement is true,
If 9∣a3+b3+c3 then 3∣a or 3∣b or 3∣c.
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