Question

simplify.
-8i + 4i
write your answer in the form a + bi.

Explanation:

Step1: Combine like terms

To simplify \(-8i + 4i\), we combine the coefficients of the imaginary unit \(i\). The coefficient of the first term is \(-8\) and the coefficient of the second term is \(4\). So we add \(-8\) and \(4\): \(-8 + 4 = -4\).

Step2: Write in the form \(a + bi\)

In the form \(a + bi\), \(a\) is the real part and \(bi\) is the imaginary part. Here, the real part \(a = 0\) (since there is no real number term) and the imaginary part is \(-4i\). So we can write it as \(0 + (-4)i\) or simply \(0 - 4i\).

Answer:

\(0 - 4i\) (or equivalently \(0 + (-4)i\))