Answer :

Final answer:

The given polynomial simplifies to -30x^6 + 16x^5 by combining like terms. Like terms are those with the same variable and exponent.

Explanation:

The subject of this question involves the simplification of a polynomial. To simplify the given polynomial 14x^5 - 15x^6 + 2x^5 - 16x^6 + x^6, we combine like terms. Like terms are terms that have the same variable with the same exponent.

In this case, we have three like terms: -15x^6, -16x^6 and x^6. Combining these gives us -30x^6. For the x^5 terms, we have 14x^5 and 2x^5, which when combined give 16x^5. So, the simplified form of the given polynomial is -30x^6 + 16x^5.

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