4) $\frac{p-6}{p^{2}-11 p+18} \cdot \frac{p^{2}-12 p+27}{4 p-24}$
Cancel out common factors and simplify: \(\boxed{\frac{p-3}{4(p-2)}}\)
Step 1 :Factor the expressions: \(\frac{(p-6)}{(p-9)(p-2)} \cdot \frac{(p-9)(p-3)}{4(p-6)}\)
Step 2 :Cancel out common factors and simplify: \(\boxed{\frac{p-3}{4(p-2)}}\)