Answer:
Explanation:
We can use the distributive property and FOIL method to multiply these two complex numbers:
(-4 + i)(2 - 3i) = -4(2) + (-4)(-3i) + (i)(2) + (i)(-3i)
Simplifying each term, we get:
(-4 + i)(2 - 3i) = -8 + 12i + 2i - 3i^2
Since i^2 = -1, we can replace it with -1:
(-4 + i)(2 - 3i) = -8 + 12i + 2i - 3(-1)
Simplifying further, we get:
(-4 + i)(2 - 3i) = -5 + 14i
Therefore, the product of (-4 + i) and (2 - 3i) is -5 + 14i.