Question

Given w₁​=4−4i and w₂​​=−2, what is w₂​−w₁​?
a. 2−4i
b. 2+4i
c. −6+4i
d. −6−4i

Answer 1

The difference between the complex numbers w₂ (-2) and w₁ (4-4i) is computed by subtraction, resulting in the complex number -6 + 4i, which corresponds to option c.

Step-by-step explanation:

To find the difference between the complex numbers w₂ and w₁, we simply subtract w₁ from w₂. Given that w₁ = 4 - 4i and w₂​​ = -2, we calculate the difference as follows:

w₂ - w₁ = (-2) - (4 - 4i)

Now, subtract the real parts and the imaginary parts separately:

Real parts: (-2) - 4 = -6
Imaginary parts: 0 - (-4i) = +4i

Combining these, we get:

w₂ - w₁ = -6 + 4i

Therefore, the final answer is c. -6 + 4i.