SOLUTION: Prove that x squared minus x is divisible by 2 Xcube is divisible by3 Is the general statement true or false give rationale

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Question 846413: Prove that x squared minus x is divisible by 2
Xcube is divisible by3
Is the general statement true or false give rationale

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
x^2 - x = x(x-1). Either x or x-1 is divisible by 2, so x^2 - x is divisible by 2 (for integer x).

For integer x, x^3 is not necessarily divisible by 3.