For all positive integer `n` , prove that `(n^7)/7+(n^5)/5+2/3n^3-n/(105)` is an integer

For all positive integer n, prove that (n^(7))/(7)+(n^(2))/(5)+(2)/(3)n^(3)-(n)/(105) is an integer

For all n in N, prove that : n^2/7+n^5/5+2/3 n^2-n/105 is an integer.

For any positive integer n, prove that n^(3)-n divisible by 6.

For any positive integer n , prove that n^3-n divisible by 6.

By mathematical induction prove that, (n^(7))/(7)+(n^(5))/(5)+(2n^(3))/(3)-(n)/(105) is an integer for all ninNN .

For any positive integer n, prove that n^(3) - n is divisible by 6.

For any positive integer n,prove that n^(3)-n is divisible by 6

For any positive integer n prove that n^(3)-n is divisible by 6

For any positive integer n, prove that (n^(3) - n) is divisible by 6.

For every positive integer n, prove that 7^(n) – 3^(n) is divisible by 4.