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.
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.