Question

For Any Positive Integer n, Proove that (n³-n) is divisible by 6​

Answer 1

$( {n}^{3} - n)$

=

$n = 2$

${2}^{3} - 2 = 6$

$n = 3$

${3}^{3} - 3 = 24$

$n = 4$

${4}^{3} - 4 = 60$

${n}^{3} - n \: divisible \: by \: 6 \: so \: its \: profed$