Explanation:
Let's break down the expression 17(4 + 15) to better understand the problem:
17(4 + 15) = 17(19)
= 323
So the expression simplifies to 323.
Student A evaluated the expression by adding the product of 17 and 4 to the product of 17 and 15.
So, Student A's evaluation is incorrect because they did not distribute the 17 to each term inside the parentheses. The correct process would be:
17(4 + 15) = 17*4 + 17*15
= 68 + 255
= 323
Student B evaluated the expression by determining the product of 17 and 19.
So, Student B's evaluation is correct because 17 times 19 gives us 323, which is the solution to the expression 17(4+15).
Therefore, Student A's evaluation is incorrect, while Student B's evaluation is correct.