Prove that x^2- x is divisible by 2 fore all the positive integer x

1.	Prove that x^2- x is divisible by 2 fore all the positive integer x
Answer» Step-by-step EXPLANATION: this is probably not the book PROOF but it's a LOGICAL proof x^2-x = x(x-1) now if x is odd in x(x-1), x-1 would be EVEN or 0 and therefore divisible by 2 if x is even then in x(x+1) we get x as even which implies it is divisible by two

Answer»

Step-by-step EXPLANATION:

this is probably not the book PROOF but it's a LOGICAL proof

x^2-x = x(x-1)

now if x is odd

in x(x-1), x-1 would be EVEN or 0 and therefore divisible by 2

if x is even then in x(x+1) we get x as even which implies it is divisible by two

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Prove that x^2- x is divisible by 2 fore all the positive integer x​

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Prove that x^2- x is divisible by 2 fore all the positive integer x