Question

simplify.
2(-1 + 2i)
write your answer in the form a + bi.

Explanation:

Step1: Distribute the 2

Using the distributive property (also known as the distributive law of multiplication over addition), we multiply 2 with each term inside the parentheses. So, we have \(2\times(-1)+2\times(2i)\).

Step2: Calculate each product

First, calculate \(2\times(-1)\), which equals \(-2\). Then, calculate \(2\times(2i)\), which equals \(4i\) (since \(2\times2 = 4\) and we keep the imaginary unit \(i\)).

Step3: Combine the results

Now, we combine the real part and the imaginary part. The real part is \(-2\) and the imaginary part is \(4i\), so we write it in the form \(a + bi\) as \(-2 + 4i\).

Answer:

\(-2 + 4i\)