Question

add.
(-3i)+(3-2i)
write your answer as a complex number in standard form.

Explanation:

Step1: Remove parentheses

To add the complex numbers, we first remove the parentheses. So, \((-3i)+(3 - 2i)\) becomes \(-3i + 3 - 2i\).

Step2: Combine like terms

Next, we combine the real parts and the imaginary parts separately. The real part here is \(3\), and the imaginary parts are \(-3i\) and \(-2i\). Combining the imaginary parts: \(-3i-2i = -5i\).

Step3: Write in standard form

The standard form of a complex number is \(a + bi\), where \(a\) is the real part and \(b\) is the coefficient of the imaginary part. So putting it together, we have \(3-5i\).

Answer:

\(3 - 5i\)