Final answer:
Substituting the values into the expression ab² - ac, with a = 3, b = -4, and c = -5, we find the answer to be 63.
Step-by-step explanation:
To evaluate the expression ab² − ac with the given values a = 3, b = −4, and c = −5, we first substitute the values into the expression.
First, calculate b² which is (−4)² = 16. Then, you multiply a by b² to get 3 × 16 = 48. Next, calculate ac which is 3 × (−5) = −15. Finally, subtract ac from ab² to get 48 − (−15) = 48 + 15 = 63.
The answer to the expression ab² − ac with the given values is therefore 63.
To evaluate the expression ab² − ac with a = 3, b = −4, and c = −5, we substitute these values into the expression:
(3)(-4)² - (3)(-5)
Simplifying further, we have: (3)(16) - (3)(-5)
Which gives us: 48 + 15 = 63