Final answer:
To form the expression for 'eight more than a number cubed and 2', you define a variable, like 'x', cube it to get x^3, and then add 8 and 2, resulting in the expression x^3 + 10.
Step-by-step explanation:
The question involves forming a mathematical expression. When asked for an expression that represents "eight more than a number cubed and 2", we would create an algebraic expression that includes a variable for the unknown number, an exponent for the cubing, and then addition for the 'more than' part.
Let's define the unknown number as 'x'. When we cube that number, we write x3. According to the prompt, we are looking for 'eight more than' this cubed value, so we will add 8 to it. Lastly, the phrase 'and 2' indicates that this value is further increased by 2. Therefore, the complete expression becomes x3 + 8 + 2, which simplifies to x3 + 10.