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-2·(4 + 4i) = your answer should be a complex number in the form a + bi…

Question

-2·(4 + 4i) =
your answer should be a complex number in the form a + bi where a and b are real numbers.

Explanation:

Step1: Apply distributive property

Multiply -2 with each term inside the parentheses: $-2 \cdot 4 + (-2) \cdot 4i$

Step2: Calculate each product

$-2 \cdot 4 = -8$ and $(-2) \cdot 4i = -8i$

Step3: Combine the results

Combine the real and imaginary parts: $-8 - 8i$

Answer:

$-8 - 8i$