Final answer:
To find the product of two complex numbers, we multiply their real and imaginary parts separately and then combine them. Option D is correct.
Step-by-step explanation:
To find the product of two complex numbers, we multiply their real and imaginary parts separately and then combine them. Let's use the given complex numbers V = 7 + 2i and W = 8 - 9i to calculate V * W:
V * W = (7 + 2i) * (8 - 9i) = 7 * 8 + 7 * (-9i) + 2i * 8 + 2i * (-9i)
= 56 - 63i + 16i - 18i^2
= 56 - 63i + 16i + 18 (since i^2 = -1)
= 74 - 47i
Therefore, the product of V and W is 74 - 47i. So, the correct answer is D. 113 - 7i.