Question

multiply complex numbers (basic)
12·(-3i - 4) =
your answer should be a complex number in the form a + bi where a and b are real numbers.
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Explanation:

Step1: Distribute 12 to each term

Using the distributive property \(a(b + c)=ab+ac\), here \(a = 12\), \(b=-3i\), \(c = - 4\). So we have \(12\times(-3i)+12\times(-4)\).

Step2: Calculate each product

For the first term: \(12\times(-3i)=-36i\). For the second term: \(12\times(-4)=-48\).

Step3: Combine the terms

Combine the real part and the imaginary part, we get \(-48-36i\).

Answer:

\(-48 - 36i\)