Answer :
Final answer:
The simplified form of the expressions (8x² - 3x + 1) and (2x³ - 2x² - 5x - 8) is 2x³ + 6x² - 8x - 7. But this answer doesn't match any of the choices provided in the question. The question or the answer choices could have a mistake.
Explanation:
The simplified form of the expression (8x² - 3x + 1) + (2x³ - 2x² - 5x - 8) is attained by combining like terms from both expressions. In mathematics, combining like terms is a technique used to simplify expressions or equations. The like terms in the given expressions are x³, x², x, and the constants (numbers on their own). Always ensure to keep track of the sign before each term while combining.
For this specific problem, there's only one cubed term, 2x³. Then, for the squared terms, combine 8x² and -2x² to get 6x². Next, combine -3x (from the first expression) and -5x(from the second expression) to get -8x. Lastly, combine 1 (from the first expression) and -8 (from the second) to get -7.
So, the simplified form of the given expressions will be: 2x³ + 6x² - 8x - 7. However, this does not match any of the answer choices you’ve listed in your question. Please confirm if there's an error in the question or the answer choices.
Learn more about expressions here:
https://brainly.com/question/29003427
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