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

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) (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.
RELATED QUESTIONS
X squared minus x is divisible by... (answered by ikleyn)

Prove that x to the power of five minus x is divisible by... (answered by richard1234)

Prove that x^2 -x ,is divisible by 2 (answered by KMST,rothauserc)

Is x^2 minus x divisible by 2... (answered by josgarithmetic,ikleyn)

Use mathematical induction to prove each statement is true for all positive integers n:... (answered by math_helper)

Classify each of the following as true or false: (a) If a number is divisible by 6, then (answered by richwmiller)

Determine the truth value of the following statement: The leaning Tower of Pisa is... (answered by Alan3354)

TRUE or FALSE. Write T if the statement is true. Otherwise, give a counterexample that... (answered by Edwin McCravy)

Classify each of the following as True or False a.If a number is divisible by 4 and 6... (answered by Deina)