If p be a natural number, then prove that, `p^(n+1)+(p+1)^(2n-1)` is divisible by `(p^(2)+p+1)` for every positive integer n.

If p is a natural number, then prove that p^(n+1) + (p+1)^(2n-1) is divisible by p^(2) + p +1 for every positive integer n.

If p is a natural number, then prove that p^(n+1) + (p+1)^(2n-1) is divisible by p^(2) + p +1 for every positive integer n.

When P is a natural number then p^(n+1)+(p+1)^(2n-1) is divisible by

For all nge1 , prove that p(n):n^3+(n+1)^3+(n+2)^3 is divisible by 9.

Using mathematical induction to show that p^(n+1) +(p+1)^(2n-1) is divisible by p^2+p+1 for all n in N

If p is a fixed positive integer,prove by induction that p^(n+1)+(p+1)^(2n-1) is divisible by P^(2)+p+1 for all n in N

If p is a fixed positive integer, prove by induction that p^(n +1) + (p + 1)^(2n - 1) is divisible by P^2+ p +1 for all n in N .

If p is a fixed positive integer, prove by induction that p^(n +1) + (p + 1)^(2n - 1) is divisible by P^2+ p +1 for all n in N .

If p is a fixed positive integer, prove by induction that p^(n +1) + (p + 1)^(2n - 1) is divisible by P^2+ p +1 for all n in N .