Final answer:
The simplified form of the polynomial after combining like terms is -5n^2 - 10n + 23. However, there seems to be a discrepancy as this result does not match any of the provided answer choices, indicating a possible typo or error in the given polynomial expression.
Step-by-step explanation:
The simplified form of the given polynomial 6−(2n^2+n)−(5n+n^2−6)−(4n+2n^2−11) can be found by first distributing the negative sign inside each of the parentheses, which effectively changes the sign of each term inside them.
This is how the expression would look after distributing the negatives:
6 - 2n^2 - n - 5n - n^2 + 6 - 4n - 2n^2 + 11.
Now we combine like terms (constants, n-terms, and n^2-terms) to simplify the expression:
(-2n^2 - n^2 - 2n^2) + (-n - 5n - 4n) + (6 + 11 + 6), which simplifies to -5n^2 - 10n + 23.
However, this does not match any of the options given. There appears to be a typo or a mistake in the provided coefficients. Therefore, the expected answer cannot be determined from the given expression. If the coefficients in the given answers are correct, then there might be an error in the provided expression.