If z_1 = 2 − 2j and z_2 = 3 + 4j, find z_1z_2.
z_1z_2 = (2 − 2j)(3 + 4j) Removing brackets we find z_1z_2 = 6−6j+8j−8j² = 6−6j+8j+8 using j² = −1 = 14+2j