Final answer:
After substituting the values a = 2, b = -1, and c = 3 into the expression and simplifying, the result is -241, which does not match any of the given options. There may be a typo in the options or the provided values.
Step-by-step explanation:
To evaluate the following expression using the values given: Find -3a - b³ + 3c² - 263, where a = 2, b = -1, and c = 3, we will substitute these values into the expression and simplify.
First, multiply -3 by the value of a: -3 × 2 = -6.
Next, cube the value of b: (-1)³ = -1.
Then, square the value of c and multiply by 3: 3 × (3²) = 3 × 9 = 27.
Finally, put it all together: -6 - (-1) + 27 - 263.
Now we simplify: -6 + 1 + 27 - 263 = -6 + 28 - 263 = 22 - 263.
We get the answer: 22 - 263 = -241.
However, this result does not match any of the options given in the question. Since there might be a typo either in the question options or in the provided values, we should double-check the values and the options before proceeding with the selection. Assuming the correct values and expression were provided, none of the options listed (a. -240 b. 240 c. -244 d. 244) are correct.