Final answer:
The value of the expression 8z²-8z+2 when z=2 is 18, after performing the substitution and simplification steps.
Step-by-step explanation:
To find the value of the expression 8z²-8z+2 when z=2, we substitute 2 for every z in the equation and then simplify.
First, calculate 8z²:
8 * (2²) = 8 * 4 = 32.
Then, calculate 8z:
8 * 2 = 16.
Now plug these values back into the expression:
32 - 16 + 2.
Simplify:
32 - 16 = 16,
16 + 2 = 18.
So, the value of the expression when z=2 is 18.