Final answer:
To evaluate the expression (b-a)²+2c -11, substitute the values a = 4, b = 5, and c = -5. The result is -20.
Step-by-step explanation:
To evaluate the variable expression (b-a)²+2c -11, we substitute the values a = 4, b = 5, and c = -5 into the expression.
First, we calculate (b-a)² = (5-4)² = 1² = 1.
Next, we plug in the value of c, which gives us 2c = 2(-5) = -10.
Finally, we add all the computed values together to get (b-a)²+2c -11 = 1 + (-10) -11 = -20.