Plz help on these:

(a) Prove by mathematical induction that

$\displaystyle 6^{n+2} + 7^{2_{n+1}} $ is divisible by 43 for each positive integer n

(b) Show that $\displaystyle n^2 > 2n +1 $ for $\displaystyle n \ge 3 $ using mathematical induction method.

Thnx in advance.