Final answer:
To evaluate the expression (8 + t)^3 - 6 with t=2, substitute t with 2, compute (10)^3, and subtract 6, resulting in a final answer of 994.
Step-by-step explanation:
The question 'evaluate (8 plus t) to the power of 3 minus 6 when t=2' asks us to substitute the value of 't' with 2 into the expression and simplify it accordingly.
First, we substitute t with 2: (8 + 2)3 - 6.
Next, we compute the value inside the parentheses: (10)3 - 6.
Then, we raise 10 to the power of 3: 103 = 1000.
Finally, we subtract 6 from 1000, resulting in an answer of 994.
Therefore, when t=2, the expression (8 + t)3 - 6 evaluates to 994.