What is the product of three integers and the sum of eight integers? Explain how you determined the expression.

To determine the expression for the product of three integers and the sum of eight integers, we need to break down the problem into two parts:

1. Finding the product of three integers:
Since we are looking for the product of three integers, we need to express it in mathematical notation. Let's assume the three integers are A, B, and C. The expression for their product can be written as: A * B * C.

2. Finding the sum of eight integers:
Similarly, for the sum of eight integers, we need to express it as mathematical notation. Let's assume the eight integers are D, E, F, G, H, I, J, and K. The expression for their sum can be written as: D + E + F + G + H + I + J + K.

Combining the two expressions, we get the final expression:

(A * B * C) + (D + E + F + G + H + I + J + K)

This expression represents the product of three integers (A, B, and C) added to the sum of eight integers (D, E, F, G, H, I, J, and K).

Please note that the values of A, B, C, D, E, F, G, H, I, J, and K are not mentioned in the question. To actually find the numerical result, you will need to substitute these variables with specific values.