Final answer:
To simplify the expression, combine like terms in the numerator and denominator, then divide by the reciprocal of the denominator.
Step-by-step explanation:
To simplify the expression, p²-p-22p²/3p+1÷p²-3p/2p²+8p-9, we need to follow the order of operations (PEMDAS).
- Simplify the numerator by combining like terms: p² - p - 22p² = -21p² - p
- Simplify the denominator by combining like terms: 3p + 1 ÷ p² - 3p = 3p + 1 ÷ p(p - 3)
- Divide by the reciprocal of the denominator: (-21p² - p) ÷ (3p + 1) ÷ (p(p - 3)). This can be simplified further, but without more information about the value of p, we cannot simplify it to a single expression.