Complex Numbers in Standard Form

where and

Note is used by electrical engineers because represents current, but for math, use .

is the "real part" and is the "imaginary part" for with

Two complex numbers are only equal if they have the same real and imaginary parts

Complex numbers behave much like real numbers with respect to addition, subtraction, multiplication, and division. See complete notes for more.

For and being two complex numbers in standard form

These can be done with expansion and distribution

For