book Maths Puzzle Numerical Ability

Divide and simplify

3x^2 +13x + 4 / 3x^2-5x-12
____________ ________________
16-x^2 3x-12

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book Other Question

Let p be prime. Prove that...

(1 + p)^(p^(n - 1)) = 1(mod p^n) for all n = 1, 2, 3,...

Would using the Binomial Thm help? What about applying the Chinese Remainder Thm?
simplify the following algebraic expression

(4y)^7
-----
(4y)^3