## Intermediate Algebra: Connecting Concepts through Application

$40$
Step 1: $(2+6i)(2-6i)$ Step 2: $2(2-6i)+6i(2-6i)$ Step 3: $4-12i+12i-36i^{2}$ Step 4: $4-36i^{2}$ Step 5; As $i^{2}=-1$, $4-36i^{2}=4+36=40$