# Algebraic Operations with Complex Numbers

Let two complex numbers be z1 = a + ib and z2 = c + id.

Addition: (a + ib) + (c + id) = (a + c) + i(b + d)

Subtraction: (a + ib) â€“ (c + id) = (a â€“ c) + i(b â€“ d)

Multiplication: (a + ib) (c + id) = (ac â€“ bd) + i(ad + bc)

Division: (where at least one of c and d is non-zero)
(Rationalization)
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