Simplify:
$$1 \div \left[\left\{p^{2}/\left(P + 6\right)\right\} + \left\{6p/\left(P + 6\right)\right\}\right]$$

A

$$\frac{1}{p}$$

B

$$\frac{1}{(p + 6)}$$

C

$$P + 6$$

D

$$p$$