Multiplying complex numbers can be tricky, especially when you're working on the complex plane. It’s important to be careful with each step. Here’s a simpler way to understand the main steps, but watch out—some of these can confuse students:

1. Change to Polar Form: First, you need to change each complex number into polar form. This can feel a bit complicated.

   • For example, if you have $z_1 = a + bi$, you need to find $r_1$ and $\theta_1$.

2. Multiply the Magnitudes: Next, you will multiply the sizes (or magnitudes) of the two numbers, which are $r_1$ and $r_2$. You might need to do a bit more math here.

3. Add the Angles: Finally, add the angles together: $\theta = \theta_1 + \theta_2$. This part is often where students get stuck.

Even though these steps can be difficult at first, practicing them a lot can make things easier. The more you work with them, the more comfortable you'll get!