Question

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

Explanation:

Step1: Combine like terms

To simplify \(-i + 2i\), we combine the coefficients of \(i\). The coefficient of \(-i\) is \(-1\) and the coefficient of \(2i\) is \(2\). So we have \((-1 + 2)i\).

Step2: Calculate the coefficient

Calculating \(-1 + 2\) gives \(1\). So \((-1 + 2)i=1\times i = i\). In the form \(a + bi\), \(a = 0\) and \(b = 1\), so it is \(0 + 1i\) or simply \(i\).

Answer:

\(0 + i\) (or \(i\))