Complex Numbers Addition and Subtraction
The complex numbers follow the commutative and associative laws of addition. Thus we can add and subtract them as we do binomials with real-number coefficients , that is, we collect like terms.
Example
a. (8 + 6i) + (3 + 2i) = (8 + 3) + (6 + 2)I = 11 + 8i
b. (3 + 2i) – (5 – 2i) = (3 – 5) + [2 – (-2)]i = -2 + 4i