Final answer:
After substituting the given values into the expression 8a + 3b - 10 + c², the expression evaluates to 37.
Step-by-step explanation:
To evaluate the expression 8a + 3b - 10 + c² given the values a=2, b=5, and c=4, we substitute these values into the expression.
- First, we substitute a with 2: 8(2) = 16.
- Next, we substitute b with 5: 3(5) = 15.
- Then, we substitute c with 4 and square it: (4)² = 16.
- Finally, we combine all the terms: 16 + 15 - 10 + 16 = 37.
- Next, we simplify the expression:
- 64(15) - 160 = 960 - 160
- = 800
- Therefore, the value of the expression 8a^3b - 10c^2 when a = 2, b = 5, and c = 4 is 800.
So the expression evaluates to 37.