Final answer:
The value of the expression x²-4(x-y) for x=8 and y=3 is 44 after substituting the values and simplifying the expression.
Step-by-step explanation:
To evaluate the expression x²-4(x-y) for x=8 and y=3, we simply substitute the provided values into the expression and simplify.
First, replace x with 8 and y with 3:
(8)² - 4(8 - 3)
Now we calculate the square of 8 and the expression in the parenthesis:
64 - 4(5)
Multiply 4 by 5:
64 - 20
Finally, subtract 20 from 64:
44