Complex multiplication [ (a+bi) × (a+bi) ]

The complex algorithm has: addition and subtraction, multiplication and division.

The multiplication of the plural is carried out according to the following rules: Let \(z1=a+bi\), \(z2=c+di\)(a, b, c, d∈R) be any two plural , then their product \((a+bi)(c+di)=(ac-bd)+(bc+ad)i\).