If m, n are any two integers and~ m and n ~are related as m = n^ 2...

Given,& $m = n^{2} - n$

$m = n \left(n - 1\right) .$

$m^{2} - 2m = m\left(m - 2\right)$

$= n \left(n - 1\right) \left(n^{2} - n - 2\right)$

= n \left(n - 1\right)\left(n + 1\right) \left(n - 2\right)

m^{2} - 2m = \left(n - 2\right) \left(n - 1\right)n \left(n + 1\right)$.<br /><br />It is the product of$4$~consecutive integers.<br /><br />$∴ m^{2} - 2m$must be divisible by$24$.</p>$