Final answer:
The product of u and v is -2.Applying the distributive property, the product of (1 + i√3)(1 - i√3) simplifies to -2. The calculation involves eliminating cross-products and recognizing the square of the imaginary term. Option B is the correct answer.
Step-by-step explanation:
To find the product of u and v, we can use the distributive property of multiplication over addition. This means we multiply each term of u by each term of v and combine like terms. Let's perform the calculation:
(1 + i√3)(1 - i√3) = 1 - i√3 + i√3 - (i√3)(i√3)
Using the fact that (i√3)(i√3) = -3, we simplify further:
= 1 - 3 = -2
Therefore, the product of u and v is -2.
To determine the product of u and v, apply the distributive property. Multiply each term of u by each term of v and simplify. The calculation results in (1 + i√3)(1 - i√3) = 1 - i√3 + i√3 - (i√3)(i√3). Recognizing that (i√3)(i√3) = -3, the expression further simplifies to 1 - 3 = -2. Thus, the product of u and v is -2.