(p^3 - p^2 - 132p) / p(p - 11)

Sure, let's simplify the given expression step by step.

Expression: (p^3 - p^2 - 132p) / p(p - 11)

Step 1: Factor out the common factor 'p' from the numerator.

= p(p^2 - p - 132) / p(p - 11)

Step 2: Cancel out the common factor 'p' from the numerator and denominator.

= (p^2 - p - 132) / (p - 11)

Step 3: Factorize the quadratic expression in the numerator.

The factors of -132 that add up to -1 (the coefficient of 'p') are -12 and 11. So, we can write:

= (p^2 - 12p + 11p - 132) / (p - 11)

= (p(p - 12) + 11(p - 12)) / (p - 11)

= (p - 12)(p + 11) / (p - 11)

Step 4: Cancel out the common factor '(p - 11)' from the numerator and denominator.

= p - 12

So, the simplified form of the given expression is 'p - 12'.