Complex Addition/Subtraction

Given:
$z_1=a_1+jb_1$
$z_2=a_2+jb_2$

Q1: How do I add complex numbers in Cartesian form?
A1: Complex numbers are added component-wise:
$z_1+z_2=(a_1+a_2)+j(b_1+b_2)$

Q2: How do I subtract complex numbers in Cartesian form?
A2: Complex numbers are subtracted component-wise:
$z_1-z_2=(a_1-a_2)+j(b_1-b_2)$