Complex Numbers Math Rules
Core algebraic operations on complex numbers where i² = -1:
ADD / SUB
Component-wise
(a+bi) ± (c+di) = (a±c) + (b±d)i
MULTIPLY
FOIL Expansion
(a+bi)(c+di) = (ac - bd) + (ad + bc)i
DIVIDE
Conjugate Multiplication
Multiply numerator and denominator by (c - di).
MODULUS
Magnitude |z|
|z| = √(a² + b²) distance from origin in complex plane.