Question

simplify.
3i + 3i
write your answer in the form a + bi.

Explanation:

Step1: Combine like terms

To simplify \(3i + 3i\), we add the coefficients of the imaginary unit \(i\). The coefficient of \(i\) in both terms is \(3\), so we add \(3\) and \(3\).
\(3i + 3i=(3 + 3)i\)

Step2: Calculate the sum of coefficients

\(3+3 = 6\), so \((3 + 3)i = 6i\). In the form \(a+bi\), \(a = 0\) (since there is no real part) and \(b = 6\). So the expression becomes \(0+6i\).

Answer:

\(0 + 6i\)