Two positive integers , p and q are connected by p=q+1 . By using the binomial expansion , show that the expression $\displaystyle p^{2n}-2nq-1$ can be divided exactly by $\displaystyle q^2$ for all positive integers of n .
Two positive integers , p and q are connected by p=q+1 . By using the binomial expansion , show that the expression $\displaystyle p^{2n}-2nq-1$ can be divided exactly by $\displaystyle q^2$ for all positive integers of n .