Which of the following correctly shows the application of the Distributive Property to the expression (7i−8)(−2i−5) ?(1 point)
1. 36-19i
2. 54-19i
3. -36+19i
4. -54+19i
The correct answer is 2. 54-19i.
To apply the Distributive Property to the expression (7i−8)(−2i−5), you need to multiply each term in the first expression by each term in the second expression and then add them together.
(7i)(-2i) = -14i^2 = -14(-1) = 14
(7i)(-5) = -35i
(-8)(-2i) = 16i
(-8)(-5) = 40
Adding them together:
14 + (-35i) + 16i + 40 = 54 - 19i