Question

simplify.
10i + (2 + 3i)
write your answer in the form a + bi.

Explanation:

Step1: Identify complex number parts

The expression is \(10i + (2 + 3i)\). We have a real part \(2\) and imaginary parts \(10i\) and \(3i\).

Step2: Combine like terms

Combine the real part and the imaginary parts separately. The real part is \(2\), and for the imaginary parts: \(10i+3i = 13i\). So the simplified form is \(2 + 13i\).

Answer:

\(2 + 13i\)