Question

Prove that x2 – x is divisible by 2 for all positive integer x.

Answer 1

Answer:

Here's your answer..

Step-by-step explanation:

[tex]x^{2}-x\\=x(x-1)\\[\tex]

if x is a positive integer then this turns out to be an even integer times an odd integer or an odd integers time an even integers.

Now we know that every even integer is divisible by 2

Therefore [tex] x^{2}-x [\tex] is divisible by 2.

Hope it helps

Answer 2

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