what is the nature of the no. n2-n if is a positive integer?explain your answer.

Dear Student,

if n is a positive integer, then n² is always greater than n.

So, n² - n is always positive.

Also, we can write it as,

n² - n = n(n-1)

Now, either one of n or n-1 is even and the other is odd always.

=> n(n-1) is even always. (even times odd is even.)

Hence n² - n is a positive even integer if n is a positive integer.

Regards Topperlearning.