Final answer:
After evaluating the expression with the given values for a and b, the result is 625. This is not among the provided choices, suggesting a possible error in the question.
Step-by-step explanation:
To evaluate the expression 16a^2 + 24ab + 9b^2 using the given values for a and b, we substitute a = 4 and b = 3 into the expression:
16(4)^2 + 24(4)(3) + 9(3)^2
= 16(16) + 24(12) + 9(9)
= 256 + 288 + 81
= 625
Therefore, the evaluated expression with a = 4 and b = 3 is 625, which isn't an option in the provided choices, indicating a possible typo in the question. however, answer b (289) is the square of 17, which might have been intended as the solution for the expression (4a + 3b)^2.