(12-5p²)+(p³+2p²-p+15)

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To simplify the given expression, we first need to combine like terms:

(12 - 5p²) + (p³ + 2p² - p + 15)

Combine like terms within each parentheses:

= 12 - 5p² + p³ + 2p² - p + 15

Now, combine like terms for the entire expression:

= p³ - 5p² + 2p² - p + 12 + 15

= p³ - 3p² - p + 27

Therefore, (12-5p²)+(p³+2p²-p+15) simplifies to p³ - 3p² - p + 27.