Question

15·(-4i + 2) =
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: Apply distributive property

Multiply 15 with each term inside the parentheses: \(15 \cdot (-4i) + 15 \cdot 2\)

Step2: Calculate each term

For the first term: \(15 \cdot (-4i)= -60i\)
For the second term: \(15 \cdot 2 = 30\)

Step3: Combine terms

Combine the real part and the imaginary part to get the complex number in the form \(a + bi\): \(30 - 60i\)

Answer:

\(30 - 60i\)